Add 27/12 and 20/7, Solve 2 3/12 + 2 6/7 as a fraction

Add 27/12 and 20/7

1^st number: 2 3/12, 2^nd number: 2 6/7

27/12 + 20/7 is 143/28.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
27/12 = 27 × 7/12 × 7 = 189/84
Likewise, for the 2nd fraction, since 7 × 12 = 84,
20/7 = 20 × 12/7 × 12 = 240/84
Add the two like fractions:
189/84 + 240/84 = 189 + 240/84 = 429/84
429/84 simplified gives 143/28
So, 27/12 + 20/7 = 143/28
In mixed form: 53/28

MathStep (Works offline)

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