Add 10/72 and 56/42, Solve 10/72 + 1 14/42 as a fraction

Add 10/72 and 56/42

1^st number: 10/72, 2^nd number: 1 14/42

10/72 + 56/42 is 53/36.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 42 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
10/72 = 10 × 7/72 × 7 = 70/504
Likewise, for the 2nd fraction, since 42 × 12 = 504,
56/42 = 56 × 12/42 × 12 = 672/504
Add the two like fractions:
70/504 + 672/504 = 70 + 672/504 = 742/504
742/504 simplified gives 53/36
So, 10/72 + 56/42 = 53/36
In mixed form: 117/36

MathStep (Works offline)

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