Add 27/72 and 12/7, Solve 27/72 + 1 5/7 as a fraction

Add 27/72 and 12/7

1^st number: 27/72, 2^nd number: 1 5/7

27/72 + 12/7 is 117/56.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 7 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
27/72 = 27 × 7/72 × 7 = 189/504
Likewise, for the 2nd fraction, since 7 × 72 = 504,
12/7 = 12 × 72/7 × 72 = 864/504
Add the two like fractions:
189/504 + 864/504 = 189 + 864/504 = 1053/504
1053/504 simplified gives 117/56
So, 27/72 + 12/7 = 117/56
In mixed form: 25/56

MathStep (Works offline)

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