Add 30/35 and 56/49, Solve 30/35 + 1 7/49 as a fraction

Add 30/35 and 56/49

1^st number: 30/35, 2^nd number: 1 7/49

30/35 + 56/49 is 2/1.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 35 × 7 = 245,
30/35 = 30 × 7/35 × 7 = 210/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
56/49 = 56 × 5/49 × 5 = 280/245
Add the two like fractions:
210/245 + 280/245 = 210 + 280/245 = 490/245
490/245 simplified gives 2/1
So, 30/35 + 56/49 = 2/1

MathStep (Works offline)

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