Add 72/16 and 21/56, Solve 4 8/16 + 21/56 as a fraction

Add 72/16 and 21/56

1^st number: 4 8/16, 2^nd number: 21/56

72/16 + 21/56 is 39/8.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 56 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 16 × 7 = 112,
72/16 = 72 × 7/16 × 7 = 504/112
Likewise, for the 2nd fraction, since 56 × 2 = 112,
21/56 = 21 × 2/56 × 2 = 42/112
Add the two like fractions:
504/112 + 42/112 = 504 + 42/112 = 546/112
546/112 simplified gives 39/8
So, 72/16 + 21/56 = 39/8
In mixed form: 47/8

MathStep (Works offline)

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