What is the product of the following fractions: $\frac{3}{100}, \frac{15}{49}, \frac{7}{9}$ $3/100, 15/49, 7/9$ ?

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What is the product of the following fractions: $\frac{3}{100}, \frac{15}{49}, \frac{7}{9}$ $3/100, 15/49, 7/9$ ?

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Answer 1 · 2016-11-14T11:56:25

$\frac{1}{140}$ $1/140$

Explanation:

A fast way, kind of easy

A calculator might be helpful here.
$\frac{3}{100} \times \frac{15}{49} \times \frac{7}{9} = \frac{3 \times 15 \times 7}{100 \times 49 \times 9} = \frac{315}{44100}$ $3/100\times15/49\times7/9=(3\times15\times7)/(100\times49\times9)=315/44100$

44100 $\div$ $\div$ 315=140, so $\frac{315}{44100} \times \frac{\frac{1}{315}}{\frac{1}{315}}$ $315/44100\times(1/315)/(1/315)$ ...
$(\cancel(315)^\color(red)(1))/(\cancel(44100)^\color(red)(140))=1/140$

Fastest AND easiest way

$3/15\times15/49\times7/9=(\cancel(3)^(1)\times\cancel(15)^(3)\times\cancel(7)^1)/(\cancel(100)^(20)\times\cancel(49)^(7)\times\cancel(9)^(3))$
$=(1\times\cancel(3)^(1)\times1)/(20\times7\times\cancel(3)^(1))=1/140$

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What is the product of the following fractions: $\frac{3}{100}, \frac{15}{49}, \frac{7}{9}$ $3/100, 15/49, 7/9$ ?

1 Answer

Explanation:

A fast way, kind of easy

Fastest AND easiest way

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What is the product of the following fractions: 3/100, 15/49, 7/93100,1549,793/100, 15/49, 7/9?

1 Answer

Explanation:

A fast way, kind of easy

Fastest AND easiest way

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What is the product of the following fractions: $\frac{3}{100}, \frac{15}{49}, \frac{7}{9}$ $3/100, 15/49, 7/9$ ?