Add 50/75 and 72/56, Solve 50/75 + 1 16/56 as a fraction

Add 50/75 and 72/56

1^st number: 50/75, 2^nd number: 1 16/56

50/75 + 72/56 is 41/21.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200

Next, find the equivalent fraction of both fractional numbers with denominator 4200
For the 1st fraction, since 75 × 56 = 4200,
50/75 = 50 × 56/75 × 56 = 2800/4200
Likewise, for the 2nd fraction, since 56 × 75 = 4200,
72/56 = 72 × 75/56 × 75 = 5400/4200
Add the two like fractions:
2800/4200 + 5400/4200 = 2800 + 5400/4200 = 8200/4200
8200/4200 simplified gives 41/21
So, 50/75 + 72/56 = 41/21
In mixed form: 120/21

MathStep (Works offline)

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