Question

How do you simplify `5/9 *div* (4/9-3/18)`?

Answer 1

See explanation.

Explanation:

First you have to find a common denominator for both fractions in brackets:

`5/9 -: (8/18-3/18)`

Now you can do the subtraction:

`5/9 -: 5/18` ##

Now you have to change the division to multiplication using the formula:

`a/b -: c/d=a/b xx d/c`

In the given example you get:

`5/9 xx 18/5= cancel(5)/9xx18/cancel(5)=18/9=2` ##