Add 30/72 and 8/3, Solve 30/72 + 2 2/3 as a fraction

Add 30/72 and 8/3

1^st number: 30/72, 2^nd number: 2 2/3

30/72 + 8/3 is 37/12.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 3 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 72 × 1 = 72,
30/72 = 30 × 1/72 × 1 = 30/72
Likewise, for the 2nd fraction, since 3 × 24 = 72,
8/3 = 8 × 24/3 × 24 = 192/72
Add the two like fractions:
30/72 + 192/72 = 30 + 192/72 = 222/72
222/72 simplified gives 37/12
So, 30/72 + 8/3 = 37/12
In mixed form: 31/12

MathStep (Works offline)

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