Add 2/72 and 70/27, Solve 2/72 + 2 16/27 as a fraction

Add 2/72 and 70/27

1^st number: 2/72, 2^nd number: 2 16/27

2/72 + 70/27 is 283/108.

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

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 72 × 3 = 216,
2/72 = 2 × 3/72 × 3 = 6/216
Likewise, for the 2nd fraction, since 27 × 8 = 216,
70/27 = 70 × 8/27 × 8 = 560/216
Add the two like fractions:
6/216 + 560/216 = 6 + 560/216 = 566/216
566/216 simplified gives 283/108
So, 2/72 + 70/27 = 283/108
In mixed form: 267/108

MathStep (Works offline)

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