Add 36/56 and 48/27, Solve 36/56 + 1 21/27 as a fraction

Add 36/56 and 48/27

1^st number: 36/56, 2^nd number: 1 21/27

36/56 + 48/27 is 305/126.

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,
36/56 = 36 × 27/56 × 27 = 972/1512
Likewise, for the 2nd fraction, since 27 × 56 = 1512,
48/27 = 48 × 56/27 × 56 = 2688/1512
Add the two like fractions:
972/1512 + 2688/1512 = 972 + 2688/1512 = 3660/1512
3660/1512 simplified gives 305/126
So, 36/56 + 48/27 = 305/126
In mixed form: 253/126

MathStep (Works offline)

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