Add 49/30 and 14/7, Solve 1 19/30 + 2 0/7 as a fraction

Add 49/30 and 14/7

1^st number: 1 19/30, 2^nd number: 2 0/7

49/30 + 14/7 is 109/30.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210
Likewise, for the 2nd fraction, since 7 × 30 = 210,
14/7 = 14 × 30/7 × 30 = 420/210
Add the two like fractions:
343/210 + 420/210 = 343 + 420/210 = 763/210
763/210 simplified gives 109/30
So, 49/30 + 14/7 = 109/30
In mixed form: 319/30

MathStep (Works offline)

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