Question

Find 3/4 / 9/14 . Simplify the answer and write as a mixed number, if possible.

Answer 1

Hoi!

To divide fractions, we must multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is just a fancy way of saying a flipped fraction)


`(3)/(4)` ×
`(14)/(9)`

14 × 3 = 42
4 × 9 = 36

Your fraction is
`(42)/(36)`, but this can be simplified since both fractions have a common factor of 6.

42 ÷ 6 = 7
36 ÷ 6 = 6

Your simplified fraction is
`(7)/(6)` or
`1 (1)/(6)`

Answer 2

3/4 / 9/14
= 3/4 x 14/9
= 7/6
= 1 1/6

answer
1 1/6