Add 6/8 and 20/7, Solve 6/8 + 2 6/7 as a fraction

Add 6/8 and 20/7

1^st number: 6/8, 2^nd number: 2 6/7

6/8 + 20/7 is 101/28.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 7 is 56

Next, find the equivalent fraction of both fractional numbers with denominator 56
For the 1st fraction, since 8 × 7 = 56,
6/8 = 6 × 7/8 × 7 = 42/56
Likewise, for the 2nd fraction, since 7 × 8 = 56,
20/7 = 20 × 8/7 × 8 = 160/56
Add the two like fractions:
42/56 + 160/56 = 42 + 160/56 = 202/56
202/56 simplified gives 101/28
So, 6/8 + 20/7 = 101/28
In mixed form: 317/28

MathStep (Works offline)

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