Add 56/36 and 21/49, Solve 1 20/36 + 21/49 as a fraction

Add 56/36 and 21/49

1^st number: 1 20/36, 2^nd number: 21/49

56/36 + 21/49 is 125/63.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764

Next, find the equivalent fraction of both fractional numbers with denominator 1764
For the 1st fraction, since 36 × 49 = 1764,
56/36 = 56 × 49/36 × 49 = 2744/1764
Likewise, for the 2nd fraction, since 49 × 36 = 1764,
21/49 = 21 × 36/49 × 36 = 756/1764
Add the two like fractions:
2744/1764 + 756/1764 = 2744 + 756/1764 = 3500/1764
3500/1764 simplified gives 125/63
So, 56/36 + 21/49 = 125/63
In mixed form: 162/63

MathStep (Works offline)

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