Add 14/30 and 72/27, Solve 14/30 + 2 18/27 as a fraction

Add 14/30 and 72/27

1^st number: 14/30, 2^nd number: 2 18/27

14/30 + 72/27 is 47/15.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270

Next, find the equivalent fraction of both fractional numbers with denominator 270
For the 1st fraction, since 30 × 9 = 270,
14/30 = 14 × 9/30 × 9 = 126/270
Likewise, for the 2nd fraction, since 27 × 10 = 270,
72/27 = 72 × 10/27 × 10 = 720/270
Add the two like fractions:
126/270 + 720/270 = 126 + 720/270 = 846/270
846/270 simplified gives 47/15
So, 14/30 + 72/27 = 47/15
In mixed form: 32/15

MathStep (Works offline)

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