Add 30/36 and 72/14, Solve 30/36 + 5 2/14 as a fraction

Add 30/36 and 72/14

1^st number: 30/36, 2^nd number: 5 2/14

30/36 + 72/14 is 251/42.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 36 × 7 = 252,
30/36 = 30 × 7/36 × 7 = 210/252
Likewise, for the 2nd fraction, since 14 × 18 = 252,
72/14 = 72 × 18/14 × 18 = 1296/252
Add the two like fractions:
210/252 + 1296/252 = 210 + 1296/252 = 1506/252
1506/252 simplified gives 251/42
So, 30/36 + 72/14 = 251/42
In mixed form: 541/42

MathStep (Works offline)

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