Add 72/14 and 24/27, Solve 5 2/14 + 24/27 as a fraction

Add 72/14 and 24/27

1^st number: 5 2/14, 2^nd number: 24/27

72/14 + 24/27 is 380/63.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
72/14 = 72 × 27/14 × 27 = 1944/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
24/27 = 24 × 14/27 × 14 = 336/378
Add the two like fractions:
1944/378 + 336/378 = 1944 + 336/378 = 2280/378
2280/378 simplified gives 380/63
So, 72/14 + 24/27 = 380/63
In mixed form: 62/63

MathStep (Works offline)

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