Question

How do you simplify `\frac { 7} { 9} \cdot \frac { 4} { 13}`?

Answer 1

`7/9 * 4/13 = 28/117`

Explanation:

Before we multiply this together, note that `7`, `4 = 2^2`, `9 = 3^2` and `13` have no common prime factor. So the resulting fraction will have no factors that we can cancel in order to simplify it further.

So we find:

`7/9 * 4/13 = (7 * 4)/(9 * 13) = 28/117`

and `28/117` is in simplest form.