Question

How do you evaluate `\frac { 4} { 9} + \frac { 2} { 6}`?

Answer 1

`4/9+2/6=8/18+6/18=14/18=7/9`

Explanation:

The first step is to make the denominators (bottom numbers) the same. In this case, the lowest common multiple (LCM) of both 9 and 6 is 18.

To change the `4/9` to have a denominator of 18, multiply both the numerator (top number) and denominator by 2, so this becomes `8/18`.

To change the`2/6` to have a denominator of 18, multiply both the numerator and denominator by 3, so this becomes `6/18`.

Add the top numbers together and place over the denominator of 18.

`8+6=14`, to get to `14/18`. By dividing both the numerator and denominator by 2, you can reduce this answer down to `7/9`.