Add 9/27 and 60/56, Solve 9/27 + 1 4/56 as a fraction

Add 9/27 and 60/56

1^st number: 9/27, 2^nd number: 1 4/56

9/27 + 60/56 is 59/42.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 27 × 56 = 1512,
9/27 = 9 × 56/27 × 56 = 504/1512
Likewise, for the 2nd fraction, since 56 × 27 = 1512,
60/56 = 60 × 27/56 × 27 = 1620/1512
Add the two like fractions:
504/1512 + 1620/1512 = 504 + 1620/1512 = 2124/1512
2124/1512 simplified gives 59/42
So, 9/27 + 60/56 = 59/42
In mixed form: 117/42

MathStep (Works offline)

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