Add 20/3 and 84/7, Solve 6 2/3 + 12 0/7 as a fraction

Add 20/3 and 84/7

1^st number: 6 2/3, 2^nd number: 12 0/7

20/3 + 84/7 is 56/3.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21

Next, find the equivalent fraction of both fractional numbers with denominator 21
For the 1st fraction, since 3 × 7 = 21,
20/3 = 20 × 7/3 × 7 = 140/21
Likewise, for the 2nd fraction, since 7 × 3 = 21,
84/7 = 84 × 3/7 × 3 = 252/21
Add the two like fractions:
140/21 + 252/21 = 140 + 252/21 = 392/21
392/21 simplified gives 56/3
So, 20/3 + 84/7 = 56/3
In mixed form: 182/3

MathStep (Works offline)

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