How do you simplify#\frac { 2} { 9} + \frac { 12} { 7}#?

Question

Levi Adams · Accepted Answer

#122/63#

First we should get a common denominator. since the common factor of 9 and 7 is 63 ( 9 x 7 = 63) we will write 63 as the denominator. to get the common denominator, multiply the first fraction by the denominator of the other fraction and multiply the second fraction from the denominator of the first fraction.

then our sum will look like:

#(7*2 + 9 * 12)/63# #-># #(14+ 108)/63# #-># #122/63#

Zoe Adams · Answer

undefined To simplify the expression $ \frac{2}{9} + \frac{12}{7} $, first find a common denominator, which in this case is 63. Then, add the fractions together:

$$ \frac{2}{9} + \frac{12}{7} = \frac{2 \times 7}{9 \times 7} + \frac{12 \times 9}{7 \times 9} = \frac{14}{63} + \frac{108}{63} $$

Now that the fractions have the same denominator, add the numerators together:

$$ \frac{14}{63} + \frac{108}{63} = \frac{14 + 108}{63} = \frac{122}{63} $$

So, $ \frac{2}{9} + \frac{12}{7} $ simplifies to $ \frac{122}{63} $.