Addition and Subtraction of Fractions

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------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAAD7wAAAAYAPwAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAMAAAAQAkhAPAAAAAAAAAA eQChAP////8IAAAA+gIAAAAAAAAAAAAABAAAAC0BAgAHAAAA/AIAAP///wAAAAQAAAAtAQMABAAA ACcB//8cAAAA+wL5/wAAAAAAAJABAAAAAABAACJBcmlhbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAQAAAAtAQQABAAAAC4BGAAEAAAAAgEBAAUAAAAJAgAAAAI/AAAAMgoJABUAJQAAAEFkZGl0 aW9uIGFuZCBTdWJ0cmFjdGlvbiBvZiBGcmFjdGlvbnNnBQAEAAQAAgACAAIABAAEAAIABAADAAQA AgAFAAQABAACAAIABAAEAAEAAgAEAAQAAgAEAAIAAgAEAAIABAAEAAIAAgAEAAMAAwAEAAAALgEA ABwAAAD7AhAABwAAAAAAvAIAAAAAAQICIlN5c3RlbQAAAAAAABgAAAAsnhMAAgAAAOQEAAAAAAAA BAAAAC0BBQAEAAAA8AEEAAMAAAAAAA== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0121.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the following multiplier-method<= span lang=3DEN-US style=3D'font-size:133%;color:#99CC00;mso-color-index:7;mso-f= areast-language: ZH-CN'> to add or subtract fractions to reduce the amount of writing.

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0122.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the following multiplier-method<= span lang=3DEN-US style=3D'font-size:133%;color:#99CC00;mso-color-index:7;mso-f= areast-language: ZH-CN'> to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0123.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0124.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, =

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0125.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0126.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0127.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multip= lier Method (for adding and subtra= cting fractions)

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0128.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0129.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example C: a.

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0129_image001.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0130.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24.

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0130_image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0131.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0131_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0132.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

5
6

3
8

+

(

)

*

24 / 24

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0132_image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AAEAgAAAAAAAAAIKjI+pBu0PI1yUFgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0132_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0043.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

5
6

3
8

+

(

)

*

24 / 24
4

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

5
6

3
8

+

(

)

*

24 / 24
4

3

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AAEAgAAAAAAAAAIKjI+pBu0PI1yUFgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AA4AgAAAAP8zAAIdhI8JwerGwnNtpmhvzVDy7n3Yt4TcKG6nmaEkyxUAOx== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA8AgAAAAP8zAAIfhI8JEerG2ktxomoPzovxLnFbNk6l6X2nsz7pt8BHAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AA4AgAAAAP8zAAIdhI8JwerGwnNtpmhvzVDy7n3Yt4TcKG6nmaEkyxUAOx== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAB AAoAgAAAAAAAAAIDjI8FADs= ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAB AAkAgAAAAAAAAAIDjH8FADs= ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0133_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAt AAEAgAAAAAAAAAIFjI+py10AO1== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

5
6

3
8

+

(

)

*

24 / 24 =3D (4*5 + 3*3) / 24
4

3

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
6

3
8

+

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AAEAgAAAAAAAAAIKjI+pBu0PI1yUFgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AA4AgAAAAP8zAAIdhI8JwerGwnNtpmhvzVDy7n3Yt4TcKG6nmaEkyxUAOx== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA8AgAAAAP8zAAIfhI8JEerG2ktxomoPzovxLnFbNk6l6X2nsz7pt8BHAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AA4AgAAAAP8zAAIdhI8JwerGwnNtpmhvzVDy7n3Yt4TcKG6nmaEkyxUAOx== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0134_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABR AAEAgAAAAAAAAAILjI+pC+0PI1y0ngIAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0135.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

Example = C: a.

The LCD = is 24. Multiply the problem by 24, then divide by 24.

5
6

3
8

+

(

)

*

24 / 24 =3D (4*5 + 3*3) / 24 =3D 29/24= =3D

4

3
29
24

We may use the followi= ng multiplier-method to add or subtract fractions to reduce the amount of writing. This method is based on the fact that if we multiply a quantity x by a, then divide by a, we get= back x.

For example, 2 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 5 / 5 = =3D 10/5 =3D 2, = 3 <= span lang=3DEN-US style=3D'font-size:67%;mso-fareast-language:ZH-CN'>* 8 / 8 = =3D 24/8 =3D 3.<= /div>

Addition and Subtraction of Fractions

Multiplier Method (for adding and subtracting fractions)

To add or subtract fractions, multiply the problem by the LCD = (expand it distributive law), then divide by the LCD.

5
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Addition and Subtraction of Fractions

b.

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The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

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------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0136_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIWjI+pCu0P45r0xAur3nzi/3QciIlbAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0137.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

(

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* 48 / 48

7
12

5
8

+

–

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9

The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
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9

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(

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* 48 / 48

7
12

5
8

+

–

16

9

4

The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
8

+

–

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------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0138_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABD AAEAgAAAAAAAAAIKjI+pBu0P45qzAAA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0138_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAAAAAAIEjI+pVgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0138_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0138_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0138_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIWjI+pCu0P45r0xAur3nzi/3QciIlbAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

(

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* 48 / 48

6
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–

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The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
8

+

–

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------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABD AAEAgAAAAAAAAAIKjI+pBu0P45qzAAA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA8AgAAAAP8zAAIehI9pob3BXIJRHmgRzRdz4HHbN4pVVqKh+j3t8hoFADs= ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAAAAAAIEjI+pVgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0139_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIWjI+pCu0P45r0xAur3nzi/3QciIlbAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

(

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* 48 / 48

6
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9

4

3
The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
8

+

–

16

9

------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image040.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABD AAEAgAAAAAAAAAIKjI+pBu0P45qzAAA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA8AgAAAAP8zAAIehI9pob3BXIJRHmgRzRdz4HHbN4pVVqKh+j3t8hoFADs= ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAAAAAAIEjI+pVgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image043.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image045.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI9poX3BXIJRPmgRzmtzynUhAIblV2Wn6rGjUQAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0140_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIWjI+pCu0P45r0xAur3nzi/3QciIlbAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

(

)

* 48 / 48

=3D (4*7 + 6*5 – 3*9) / 48

6
7
12

5
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+

–

16

9

4

3
The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

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12

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8

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–

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------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABD AAEAgAAAAAAAAAIKjI+pBu0P45qzAAA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image048.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA8AgAAAAP8zAAIehI9pob3BXIJRHmgRzRdz4HHbN4pVVqKh+j3t8hoFADs= ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAX AAEAgAAAAAAAAAIEjI+pVgA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI8JEerGnmJNImpvzSvyvmUeh30lGVqnOJIfUgAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image052.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AA4AgAAAAP8zAAIdhI9poX3BXIJRPmgRzmtzynUhAIblV2Wn6rGjUQAAOw== ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0141_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIWjI+pCu0P45r0xAur3nzi/3QciIlbAQA7 ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/slide0142.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions

(

)

* 48 / 48

=3D (4*7 + 6*5 –<= /span> 3*9) / 48

=3D (28 + 30 – 27) / 48

6
7
12

5
8

+

–

16

9

4

3
The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
8

+

–

16

9

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(

)

* 48 / 48

=3D (4*7 + 6*5 –<= /span> 3*9) / 48

=3D (28 + 30 – 27) / 48= 3;

=3D

6
7
12

5
8

+

–

16

9

4

3
The LCD is 48. Multiply the problem by 48, expand the multiplication, divide the result by 48.

Addition and Subtraction of Fractions

b.

7
12

5
8

+

–

16

9

48

31

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SCRIPT_HREF=3D"script.js", FULLSCR_= HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var gMainDoc=3Dnew Array(new hrefList("slide0005.htm",1,-1,1),new hrefList(= "slide0060.htm",1,-1,1),new hrefList("slide0061.htm",1,-1,1),new hrefList("= slide0062.htm",1,-1,1),new hrefList("slide0063.htm",1,-1,1),new hrefList("s= lide0064.htm",1,-1,1),new hrefList("slide0065.htm",1,-1,1),new hrefList("sl= ide0066.htm",1,-1,1),new hrefList("slide0067.htm",1,-1,1),new hrefList("sli= de0068.htm",1,-1,1),new hrefList("slide0069.htm",1,-1,1),new hrefList("slid= e0070.htm",1,-1,1),new hrefList("slide0084.htm",1,-1,1),new hrefList("slide= 0059.htm",1,-1,1),new hrefList("slide0007.htm",1,-1,1),new hrefList("slide0= 071.htm",1,-1,1),new hrefList("slide0072.htm",1,-1,1),new hrefList("slide00= 73.htm",1,-1,1),new hrefList("slide0074.htm",1,-1,1),new hrefList("slide007= 5.htm",1,-1,1),new hrefList("slide0076.htm",1,-1,1),new hrefList("slide0077= .htm",1,-1,1),new hrefList("slide0078.htm",1,-1,1),new hrefList("slide0079.= htm",1,-1,1),new hrefList("slide0080.htm",1,-1,1),new hrefList("slide0081.h= tm",1,-1,1),new hrefList("slide0082.htm",1,-1,1),new hrefList("slide0083.ht= m",1,-1,1),new hrefList("slide0085.htm",1,-1,1),new hrefList("slide0086.htm= ",1,-1,1),new hrefList("slide0087.htm",1,-1,1),new hrefList("slide0088.htm"= ,1,-1,1),new hrefList("slide0089.htm",1,-1,1),new hrefList("slide0090.htm",= 1,-1,1),new hrefList("slide0016.htm",1,-1,1),new hrefList("slide0100.htm",1= ,-1,1),new hrefList("slide0091.htm",1,-1,1),new hrefList("slide0092.htm",1,= -1,1),new hrefList("slide0093.htm",1,-1,1),new hrefList("slide0094.htm",1,-= 1,1),new hrefList("slide0095.htm",1,-1,1),new hrefList("slide0096.htm",1,-1= ,1),new hrefList("slide0097.htm",1,-1,1),new hrefList("slide0098.htm",1,-1,= 1),new hrefList("slide0099.htm",1,-1,1),new hrefList("slide0026.htm",1,-1,1= ),new hrefList("slide0101.htm",1,-1,1),new hrefList("slide0102.htm",1,-1,1)= ,new hrefList("slide0103.htm",1,-1,1),new hrefList("slide0104.htm",1,-1,1),= new hrefList("slide0105.htm",1,-1,1),new hrefList("slide0106.htm",1,-1,1),n= ew hrefList("slide0107.htm",1,-1,1),new hrefList("slide0108.htm",1,-1,1),ne= w hrefList("slide0109.htm",1,-1,1),new hrefList("slide0110.htm",1,-1,1),new= hrefList("slide0111.htm",1,-1,1),new hrefList("slide0112.htm",1,-1,1),new = hrefList("slide0113.htm",1,-1,1),new hrefList("slide0114.htm",1,-1,1),new h= refList("slide0115.htm",1,-1,1),new hrefList("slide0116.htm",1,-1,1),new hr= efList("slide0117.htm",1,-1,1),new hrefList("slide0118.htm",1,-1,1),new hre= fList("slide0119.htm",1,-1,1),new hrefList("slide0120.htm",1,-1,1),new href= List("slide0121.htm",1,-1,1),new hrefList("slide0122.htm",1,-1,1),new hrefL= ist("slide0123.htm",1,-1,1),new hrefList("slide0124.htm",1,-1,1),new hrefLi= st("slide0125.htm",1,-1,1),new hrefList("slide0126.htm",1,-1,1),new hrefLis= t("slide0127.htm",1,-1,1),new hrefList("slide0128.htm",1,-1,1),new hrefList= ("slide0129.htm",1,-1,1),new hrefList("slide0130.htm",1,-1,1),new hrefList(= "slide0131.htm",1,-1,1),new hrefList("slide0132.htm",1,-1,1),new hrefList("= slide0043.htm",1,-1,1),new hrefList("slide0133.htm",1,-1,1),new hrefList("s= lide0134.htm",1,-1,1),new hrefList("slide0135.htm",1,-1,1),new hrefList("sl= ide0055.htm",1,-1,1),new hrefList("slide0136.htm",1,-1,1),new hrefList("sli= de0137.htm",1,-1,1),new hrefList("slide0138.htm",1,-1,1),new hrefList("slid= e0139.htm",1,-1,1),new hrefList("slide0140.htm",1,-1,1),new hrefList("slide= 0141.htm",1,-1,1),new hrefList("slide0142.htm",1,-1,1),new hrefList("slide0= 143.htm",1,-1,1),new hrefList("slide0058.htm",1,-1,1)); function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) { var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix(); function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') { href=3Dnew String(document.location.href) Start=3Dhref.indexOf('!')+1 End=3Dhref.lastIndexOf('/')+1 if (End < Start) return href.substring(0, Start) else return href.substring(0, End) } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ToggleOtlPane() { frmset=3Ddocument.all("PPTHorizAdjust") frm=3Ddocument.all("PPTOtl") if( gOtlOpen ) frmset.cols=3D"*,100%" else frmset.cols=3D"25%,*" gOtlOpen=3D!gOtlOpen frm.noResize=3D!frm.noResize UpdOtNavPane() } function ToggleNtsPane() { frmset=3Ddocument.all("PPTVertAdjust") frm=3Ddocument.all("PPTNts") if( gNtsOpen ) frmset.rows=3D"100%,*" else frmset.rows=3D"*,20%" gNtsOpen=3D!gNtsOpen UpdNtsPane() } function ClearMedia() { if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() { if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('

' + ENDSHOW_MESG + '
') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr= row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca= ncelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; s.fontFamily=3DsFont s.fontSize=3D"9pt" s.paddingLeft=3D2 } function CreateSeparator( node ) { var sObj=3DCreateItem( node ) SetCMBorder(sObj,"menu","menu") var s=3DsObj.style s.borderTopColor=3D"threedshadow" s.borderBottomColor=3D"threedhighlight" s.height=3D1 s.fontSize=3D"0px" } function CreateItem( node ) { var elem=3DPPTSld.document.createElement("DIV") node.insertBefore( elem ) return elem } function SetCMBorder( o,ltClr,rbClr ) { var s=3Do.style s.backgroundColor=3D"menu" s.borderStyle=3D"solid" s.borderWidth=3D1 s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr } ------=_NextPart_01C8CCF6.D3A339D0 Content-Location: file:///C:/0D764A33/5AdditionandSubtractionofFractions_files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; 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