Add 21/27 and 27/4, Solve 21/27 + 6 3/4 as a fraction

Add 21/27 and 27/4

1^st number: 21/27, 2^nd number: 6 3/4

21/27 + 27/4 is 271/36.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108
Likewise, for the 2nd fraction, since 4 × 27 = 108,
27/4 = 27 × 27/4 × 27 = 729/108
Add the two like fractions:
84/108 + 729/108 = 84 + 729/108 = 813/108
813/108 simplified gives 271/36
So, 21/27 + 27/4 = 271/36
In mixed form: 719/36

MathStep (Works offline)

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