Add 7/14 and 20/9, Solve 7/14 + 2 2/9 as a fraction

Add 7/14 and 20/9

1^st number: 7/14, 2^nd number: 2 2/9

7/14 + 20/9 is 49/18.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
7/14 = 7 × 9/14 × 9 = 63/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126
Add the two like fractions:
63/126 + 280/126 = 63 + 280/126 = 343/126
343/126 simplified gives 49/18
So, 7/14 + 20/9 = 49/18
In mixed form: 213/18

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad