Add 15/8 and 27/72, Solve 1 7/8 + 27/72 as a fraction

Add 15/8 and 27/72

1^st number: 1 7/8, 2^nd number: 27/72

15/8 + 27/72 is 9/4.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 8 × 9 = 72,
15/8 = 15 × 9/8 × 9 = 135/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
27/72 = 27 × 1/72 × 1 = 27/72
Add the two like fractions:
135/72 + 27/72 = 135 + 27/72 = 162/72
162/72 simplified gives 9/4
So, 15/8 + 27/72 = 9/4
In mixed form: 21/4

MathStep (Works offline)

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