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 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#.