Add 27/14 and 9/72, Solve 1 13/14 + 9/72 as a fraction

Add 27/14 and 9/72

1^st number: 1 13/14, 2^nd number: 9/72

27/14 + 9/72 is 115/56.

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

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 14 × 36 = 504,
27/14 = 27 × 36/14 × 36 = 972/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
9/72 = 9 × 7/72 × 7 = 63/504
Add the two like fractions:
972/504 + 63/504 = 972 + 63/504 = 1035/504
1035/504 simplified gives 115/56
So, 27/14 + 9/72 = 115/56
In mixed form: 23/56

MathStep (Works offline)

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