Add 21/16 and 36/28, Solve 1 5/16 + 1 8/28 as a fraction

Add 21/16 and 36/28

1^st number: 1 5/16, 2^nd number: 1 8/28

21/16 + 36/28 is 291/112.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 28 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 16 × 7 = 112,
21/16 = 21 × 7/16 × 7 = 147/112
Likewise, for the 2nd fraction, since 28 × 4 = 112,
36/28 = 36 × 4/28 × 4 = 144/112
Add the two like fractions:
147/112 + 144/112 = 147 + 144/112 = 291/112
So, 21/16 + 36/28 = 291/112
In mixed form: 267/112

MathStep (Works offline)

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