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

1 Answer
Feb 28, 2017

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 the2/6 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.