Add 21/56 and 36/27, Solve 21/56 + 1 9/27 as a fraction

Add 21/56 and 36/27

1^st number: 21/56, 2^nd number: 1 9/27

21/56 + 36/27 is 41/24.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 27 is 1512

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 56 × 27 = 1512,
21/56 = 21 × 27/56 × 27 = 567/1512
Likewise, for the 2nd fraction, since 27 × 56 = 1512,
36/27 = 36 × 56/27 × 56 = 2016/1512
Add the two like fractions:
567/1512 + 2016/1512 = 567 + 2016/1512 = 2583/1512
2583/1512 simplified gives 41/24
So, 21/56 + 36/27 = 41/24
In mixed form: 117/24

MathStep (Works offline)

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