Add 49/30 and 2/21, Solve 1 19/30 + 2/21 as a fraction

Add 49/30 and 2/21

1^st number: 1 19/30, 2^nd number: 2/21

49/30 + 2/21 is 121/70.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 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 21 × 10 = 210,
2/21 = 2 × 10/21 × 10 = 20/210
Add the two like fractions:
343/210 + 20/210 = 343 + 20/210 = 363/210
363/210 simplified gives 121/70
So, 49/30 + 2/21 = 121/70
In mixed form: 151/70

MathStep (Works offline)

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