Add 4/27 and 42/72, Solve 4/27 + 42/72 as a fraction

Add 4/27 and 42/72

4/27 + 42/72 is 79/108.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 27 × 8 = 216,
4/27 = 4 × 8/27 × 8 = 32/216
Likewise, for the 2nd fraction, since 72 × 3 = 216,
42/72 = 42 × 3/72 × 3 = 126/216
Add the two like fractions:
32/216 + 126/216 = 32 + 126/216 = 158/216
158/216 simplified gives 79/108
So, 4/27 + 42/72 = 79/108

MathStep (Works offline)

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