Add 3/72 and 27/14, Solve 3/72 + 1 13/14 as a fraction

Add 3/72 and 27/14

1^st number: 3/72, 2^nd number: 1 13/14

3/72 + 27/14 is 331/168.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 14 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
3/72 = 3 × 7/72 × 7 = 21/504
Likewise, for the 2nd fraction, since 14 × 36 = 504,
27/14 = 27 × 36/14 × 36 = 972/504
Add the two like fractions:
21/504 + 972/504 = 21 + 972/504 = 993/504
993/504 simplified gives 331/168
So, 3/72 + 27/14 = 331/168
In mixed form: 1163/168

MathStep (Works offline)

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