Add 18/14 and 49/18, Solve 1 4/14 + 2 13/18 as a fraction

Add 18/14 and 49/18

1^st number: 1 4/14, 2^nd number: 2 13/18

18/14 + 49/18 is 505/126.

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,
18/14 = 18 × 9/14 × 9 = 162/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
49/18 = 49 × 7/18 × 7 = 343/126
Add the two like fractions:
162/126 + 343/126 = 162 + 343/126 = 505/126
So, 18/14 + 49/18 = 505/126
In mixed form: 41/126

MathStep (Works offline)

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