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#