Add 7/49 and 35/18, Solve 7/49 + 1 17/18 as a fraction

Add 7/49 and 35/18

1^st number: 7/49, 2^nd number: 1 17/18

7/49 + 35/18 is 263/126.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 49 × 18 = 882,
7/49 = 7 × 18/49 × 18 = 126/882
Likewise, for the 2nd fraction, since 18 × 49 = 882,
35/18 = 35 × 49/18 × 49 = 1715/882
Add the two like fractions:
126/882 + 1715/882 = 126 + 1715/882 = 1841/882
1841/882 simplified gives 263/126
So, 7/49 + 35/18 = 263/126
In mixed form: 211/126

MathStep (Works offline)

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