Add 28/21 and 27/16, Solve 1 7/21 + 1 11/16 as a fraction

Add 28/21 and 27/16

1^st number: 1 7/21, 2^nd number: 1 11/16

28/21 + 27/16 is 145/48.

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,
28/21 = 28 × 16/21 × 16 = 448/336
Likewise, for the 2nd fraction, since 16 × 21 = 336,
27/16 = 27 × 21/16 × 21 = 567/336
Add the two like fractions:
448/336 + 567/336 = 448 + 567/336 = 1015/336
1015/336 simplified gives 145/48
So, 28/21 + 27/16 = 145/48
In mixed form: 31/48

MathStep (Works offline)

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