Add 49/42 and 10/35, Solve 1 7/42 + 10/35 as a fraction

Add 49/42 and 10/35

1^st number: 1 7/42, 2^nd number: 10/35

49/42 + 10/35 is 61/42.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210
Likewise, for the 2nd fraction, since 35 × 6 = 210,
10/35 = 10 × 6/35 × 6 = 60/210
Add the two like fractions:
245/210 + 60/210 = 245 + 60/210 = 305/210
305/210 simplified gives 61/42
So, 49/42 + 10/35 = 61/42
In mixed form: 119/42

MathStep (Works offline)

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