Add 6/21 and 21/16, Solve 6/21 + 1 5/16 as a fraction

Add 6/21 and 21/16

1^st number: 6/21, 2^nd number: 1 5/16

6/21 + 21/16 is 179/112.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 16 is 336

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 21 × 16 = 336,
6/21 = 6 × 16/21 × 16 = 96/336
Likewise, for the 2nd fraction, since 16 × 21 = 336,
21/16 = 21 × 21/16 × 21 = 441/336
Add the two like fractions:
96/336 + 441/336 = 96 + 441/336 = 537/336
537/336 simplified gives 179/112
So, 6/21 + 21/16 = 179/112
In mixed form: 167/112

MathStep (Works offline)

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