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  • 06-04-2016
  • Mathematics
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divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

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penfila11Pen
penfila11Pen penfila11Pen
  • 06-04-2016
[tex] \frac{7}{24} [/tex] ÷ [tex] \frac{35}{48} [/tex]
Multiply [tex] \frac{7}{24} [/tex] by the reciprocal of [tex] \frac{35}{48} [/tex], which is [tex] \frac{48}{35} [/tex]

=[tex] \frac{7}{24} [/tex] × [tex] \frac{48}{35} [/tex]
=[tex] \frac{336}{840} [/tex]

We can simplify it further:
The greatest common factor here is 168
[tex] \frac{336/168}{840/168} [/tex]

=[tex] \frac{2}{5} [/tex]
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