Add 20/7 and 21/36, Solve 2 6/7 + 21/36 as a fraction

Add 20/7 and 21/36

1^st number: 2 6/7, 2^nd number: 21/36

20/7 + 21/36 is 289/84.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 36 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 7 × 36 = 252,
20/7 = 20 × 36/7 × 36 = 720/252
Likewise, for the 2nd fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252
Add the two like fractions:
720/252 + 147/252 = 720 + 147/252 = 867/252
867/252 simplified gives 289/84
So, 20/7 + 21/36 = 289/84
In mixed form: 337/84

MathStep (Works offline)

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