How do you write your answer in simplest form given $7/12 div 2/9$ ?

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Answer 1 · 2016-11-16T12:49:21

$21/8$

First we perform the arithmetic functions to arrive at a single fraction. Then we simplify it to the smallest numerical values possible.

$(7/12)/(2/9) = (7/12)*(9/2) = 63/24$ Divide this fraction by 3 to get $21/8$ .

This cannot be simplified further as 21 and 8 have no more common factors.

Answer 2 · 2016-11-16T13:25:44

$21/8 = 2 5/8$

Dividing by a fraction is the same as multiplying by its reciprocal.

$7/12 div 2/9$
$color(white)(xx.)darr$
= $7/12 xx 9/2" "larr$ cancel wherever possible through x.

$7/cancel12^4 xx cancel9^3/2$

Dividing first makes the numbers smaller.
Now multiply straight across..

$21/8$

= $2 5/8$

How do you write your answer in simplest form given 7/12 div 2/97/12 div 2/9?