Add 5/50 and 70/49, Solve 5/50 + 1 21/49 as a fraction

Add 5/50 and 70/49

1^st number: 5/50, 2^nd number: 1 21/49

5/50 + 70/49 is 107/70.

Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450

Next, find the equivalent fraction of both fractional numbers with denominator 2450
For the 1st fraction, since 50 × 49 = 2450,
5/50 = 5 × 49/50 × 49 = 245/2450
Likewise, for the 2nd fraction, since 49 × 50 = 2450,
70/49 = 70 × 50/49 × 50 = 3500/2450
Add the two like fractions:
245/2450 + 3500/2450 = 245 + 3500/2450 = 3745/2450
3745/2450 simplified gives 107/70
So, 5/50 + 70/49 = 107/70
In mixed form: 137/70

MathStep (Works offline)

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