Add 20/3 and 72/14, Solve 6 2/3 + 5 2/14 as a fraction

Add 20/3 and 72/14

1^st number: 6 2/3, 2^nd number: 5 2/14

20/3 + 72/14 is 248/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
72/14 = 72 × 3/14 × 3 = 216/42
Add the two like fractions:
280/42 + 216/42 = 280 + 216/42 = 496/42
496/42 simplified gives 248/21
So, 20/3 + 72/14 = 248/21
In mixed form: 1117/21

MathStep (Works offline)

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