Question

How do you simplify `7/9 div (3/4 - 1/3)`?

Answer 1

The answer is `28/15`.

Firstly, subtract `3/4` and `1/3`. To do that, find a common denominator, convert the fractions, and do the subtraction. Common denominator for 4 and 3 is 12.

`3/4 - 1/3 = 9/12 - 4/12 = 5/12`

Plug your result into the original equation:

`7/9 div (3/4 - 1/3) = 7/9 div 5/12`

To divide fractions, turn the second fraction into its reciprocal and multiple the two fractions. Reciprocal of `5/12` is `12/5` (just flip the fraction upside down).

`7/9 div 5/12 = 7/9 * 12/5 = 7/(cancel(9)3) * (cancel(12)4)/5 = 28/15`