Add 49/30 and 2/35, Solve 1 19/30 + 2/35 as a fraction

Add 49/30 and 2/35

1^st number: 1 19/30, 2^nd number: 2/35

49/30 + 2/35 is 71/42.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 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 35 × 6 = 210,
2/35 = 2 × 6/35 × 6 = 12/210
Add the two like fractions:
343/210 + 12/210 = 343 + 12/210 = 355/210
355/210 simplified gives 71/42
So, 49/30 + 2/35 = 71/42
In mixed form: 129/42

MathStep (Works offline)

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