Add 7/56 and 42/27, Solve 7/56 + 1 15/27 as a fraction

Add 7/56 and 42/27

1^st number: 7/56, 2^nd number: 1 15/27

7/56 + 42/27 is 121/72.

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,
7/56 = 7 × 27/56 × 27 = 189/1512
Likewise, for the 2nd fraction, since 27 × 56 = 1512,
42/27 = 42 × 56/27 × 56 = 2352/1512
Add the two like fractions:
189/1512 + 2352/1512 = 189 + 2352/1512 = 2541/1512
2541/1512 simplified gives 121/72
So, 7/56 + 42/27 = 121/72
In mixed form: 149/72

MathStep (Works offline)

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