Add 7/30 and 70/49, Solve 7/30 + 1 21/49 as a fraction

Add 7/30 and 70/49

1^st number: 7/30, 2^nd number: 1 21/49

7/30 + 70/49 is 349/210.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 30 × 49 = 1470,
7/30 = 7 × 49/30 × 49 = 343/1470
Likewise, for the 2nd fraction, since 49 × 30 = 1470,
70/49 = 70 × 30/49 × 30 = 2100/1470
Add the two like fractions:
343/1470 + 2100/1470 = 343 + 2100/1470 = 2443/1470
2443/1470 simplified gives 349/210
So, 7/30 + 70/49 = 349/210
In mixed form: 1139/210

MathStep (Works offline)

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