Add 3/12 and 63/27, Solve 3/12 + 2 9/27 as a fraction

Add 3/12 and 63/27

1^st number: 3/12, 2^nd number: 2 9/27

3/12 + 63/27 is 31/12.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 12 × 9 = 108,
3/12 = 3 × 9/12 × 9 = 27/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
63/27 = 63 × 4/27 × 4 = 252/108
Add the two like fractions:
27/108 + 252/108 = 27 + 252/108 = 279/108
279/108 simplified gives 31/12
So, 3/12 + 63/27 = 31/12
In mixed form: 27/12

MathStep (Works offline)

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