Add 27/12 and 70/7, Solve 2 3/12 + 10 0/7 as a fraction

Add 27/12 and 70/7

1^st number: 2 3/12, 2^nd number: 10 0/7

27/12 + 70/7 is 49/4.

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,
70/7 = 70 × 12/7 × 12 = 840/84
Add the two like fractions:
189/84 + 840/84 = 189 + 840/84 = 1029/84
1029/84 simplified gives 49/4
So, 27/12 + 70/7 = 49/4
In mixed form: 121/4

MathStep (Works offline)

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