Add 7/14 and 49/18, Solve 7/14 + 2 13/18 as a fraction

Add 7/14 and 49/18

1^st number: 7/14, 2^nd number: 2 13/18

7/14 + 49/18 is 29/9.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 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 18 × 7 = 126,
49/18 = 49 × 7/18 × 7 = 343/126
Add the two like fractions:
63/126 + 343/126 = 63 + 343/126 = 406/126
406/126 simplified gives 29/9
So, 7/14 + 49/18 = 29/9
In mixed form: 32/9

MathStep (Works offline)

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