Add 21/16 and 21/27, Solve 1 5/16 + 21/27 as a fraction

Add 21/16 and 21/27

1^st number: 1 5/16, 2^nd number: 21/27

21/16 + 21/27 is 301/144.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 27 is 432

Next, find the equivalent fraction of both fractional numbers with denominator 432
For the 1st fraction, since 16 × 27 = 432,
21/16 = 21 × 27/16 × 27 = 567/432
Likewise, for the 2nd fraction, since 27 × 16 = 432,
21/27 = 21 × 16/27 × 16 = 336/432
Add the two like fractions:
567/432 + 336/432 = 567 + 336/432 = 903/432
903/432 simplified gives 301/144
So, 21/16 + 21/27 = 301/144
In mixed form: 213/144

MathStep (Works offline)

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