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Multiplication and Division of Fractions
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0064.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
Multiplication and Division of Fractions
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0136.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0136_image001.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIXjI+pBu3flpSw2jez3pxe103fCIamVAAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0065.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
12
25
15
8
*
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0066.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0067.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0068.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0069.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0070.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0071.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
b.
8
9
7
8
*
10
11
9
10
*
*
a.
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Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7*8*9*10
8*9*10*11
b.
8
9
7
8
*
10
11
9
10
*
*
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAB4 AAIAgAAAAAAAAAIXjI+pBu3flpSw2jez3pxe103fCIamVAAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhvgAFAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAC7 AAMAgAAAAAAAAAIjhI+py+0P4wu02ouz3rz7LIXiSJbHh6bqyqYm0FrvTNd2UgAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAb ABIAgAAAAP8AAAIphI+pGLEPm4PUyFljy/RyjX2JJypSaZ4os62H6lptDNOzW+P3mvO7WwAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQgA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA/ ADIAgQAAAAAAzP8AAAECAwKMhI+pGesPozyhzquExq42zmkCyFjkJZ6Ip05py7bRC5vyQ5/x7eS6 zctsap+gcCTbGRE+kHJpaDqBUIAU84ResVTtUJVdbi9h41hSDp4nXW/1DY/L5/S6/Y7P6/f8vv8P GCioMxiRJniI2FaYGNj49wi5OBjpV8l3iTmpWFRY0ulpkLk3mldquqn4VgAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAA4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAy ADYAgAAAAAAAAAKGjI+py60Ao5y02hsN3rxD7YXiF4xmB55qla4u+cZAK590Pd54qO9o6TP1gpgh 0WI8UpJKCbMJg3KeUGrTqsQeW46u9+v8iscH6RRovmiJ62Db997FcfNaXXaP5V97V3/1pxJog5bG Umg4MSiEmJjR6DgD6biYM5lYKZLJc2m46fH5QzZKVgAAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAs AAIAgAAAAAAAAAIIjI+py+0PXQEAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0072_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgEFAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAG AQQAgAAAAAAAAAI1jI+pBu0P45ozWkjzubzp34XiSJbmiX0Z6qjr6VZoLLP2jef6zvf+DwwKh8Si 8ZijKZfMTAEAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0073.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7*8*9*10
8*9*10*11
b.
8
9
7
8
*
10
11
9
10
*
*
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
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Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7*8*9*10
8*9*10*11
b.
8
9
7
8
*
10
11
9
10
*
*
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
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Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7*8*9*10
8*9*10*11
b.
8
9
7
8
*
10
11
9
10
*
*
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
a.
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R0lGODlhHQAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAc ABMAgAAAAP8zmQIshI+pGetvgoQ0zkplw09z6H1LKCpkeZwooG2r5b7tm170TLO2rKJ9icvtcgUA Ow== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0075_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhUwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBQ AAEAgAAAAAAAAAIIjI+py+0PTQEAOw== ------=_NextPart_01C8E3B1.34D4FFB0 Content-Location: file:///C:/0D764A33/3MultiplicationandDivisionofFractions_files/slide0076.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Multiplication and Division of Fractions
Rule for Multiplicatio= n of Fractions
To multiply fractions, multiply the numerators and multiply the denominators, but = always cancel as much as possible then multiply.<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN;mso-specia= l-format: lastCR;display:none'>
c
d
=3D
a*c
b*d
a
b
*
Multiplication and Division of Fractions
Example A:  Multiply by reducing firs= t.
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
15 * 12
 8 * 25
12
25
15
8
*
2
3
5
3
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
9
10
3*3<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
2*5<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7*8*9*10
8*9*10*11
b.
8
9
7
8
*
10
11
9
10
*
*
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
=3D<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
7
11
a.
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