Add 4/12 and 48/27, Solve 4/12 + 1 21/27 as a fraction

Add 4/12 and 48/27

1^st number: 4/12, 2^nd number: 1 21/27

4/12 + 48/27 is 19/9.

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,
4/12 = 4 × 9/12 × 9 = 36/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
48/27 = 48 × 4/27 × 4 = 192/108
Add the two like fractions:
36/108 + 192/108 = 36 + 192/108 = 228/108
228/108 simplified gives 19/9
So, 4/12 + 48/27 = 19/9
In mixed form: 21/9

MathStep (Works offline)

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