Add 21/72 and 49/8, Solve 21/72 + 6 1/8 as a fraction

Add 21/72 and 49/8

1^st number: 21/72, 2^nd number: 6 1/8

21/72 + 49/8 is 77/12.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 8 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 72 × 1 = 72,
21/72 = 21 × 1/72 × 1 = 21/72
Likewise, for the 2nd fraction, since 8 × 9 = 72,
49/8 = 49 × 9/8 × 9 = 441/72
Add the two like fractions:
21/72 + 441/72 = 21 + 441/72 = 462/72
462/72 simplified gives 77/12
So, 21/72 + 49/8 = 77/12
In mixed form: 65/12

MathStep (Works offline)

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