Add 6/27 and 21/8, Solve 6/27 + 2 5/8 as a fraction

Add 6/27 and 21/8

1^st number: 6/27, 2^nd number: 2 5/8

6/27 + 21/8 is 205/72.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 8 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 27 × 8 = 216,
6/27 = 6 × 8/27 × 8 = 48/216
Likewise, for the 2nd fraction, since 8 × 27 = 216,
21/8 = 21 × 27/8 × 27 = 567/216
Add the two like fractions:
48/216 + 567/216 = 48 + 567/216 = 615/216
615/216 simplified gives 205/72
So, 6/27 + 21/8 = 205/72
In mixed form: 261/72

MathStep (Works offline)

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