Add 72/27 and 14/12, Solve 2 18/27 + 1 2/12 as a fraction

Add 72/27 and 14/12

1^st number: 2 18/27, 2^nd number: 1 2/12

72/27 + 14/12 is 23/6.

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

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 27 × 4 = 108,
72/27 = 72 × 4/27 × 4 = 288/108
Likewise, for the 2nd fraction, since 12 × 9 = 108,
14/12 = 14 × 9/12 × 9 = 126/108
Add the two like fractions:
288/108 + 126/108 = 288 + 126/108 = 414/108
414/108 simplified gives 23/6
So, 72/27 + 14/12 = 23/6
In mixed form: 35/6

MathStep (Works offline)

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