Add 27/7 and 6/72, Solve 3 6/7 + 6/72 as a fraction

Add 27/7 and 6/72

1^st number: 3 6/7, 2^nd number: 6/72

27/7 + 6/72 is 331/84.

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

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 7 × 72 = 504,
27/7 = 27 × 72/7 × 72 = 1944/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
6/72 = 6 × 7/72 × 7 = 42/504
Add the two like fractions:
1944/504 + 42/504 = 1944 + 42/504 = 1986/504
1986/504 simplified gives 331/84
So, 27/7 + 6/72 = 331/84
In mixed form: 379/84

MathStep (Works offline)

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