Add 27/36 and 14/7, Solve 27/36 + 2 0/7 as a fraction

Add 27/36 and 14/7

1^st number: 27/36, 2^nd number: 2 0/7

27/36 + 14/7 is 11/4.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 7 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 36 × 7 = 252,
27/36 = 27 × 7/36 × 7 = 189/252
Likewise, for the 2nd fraction, since 7 × 36 = 252,
14/7 = 14 × 36/7 × 36 = 504/252
Add the two like fractions:
189/252 + 504/252 = 189 + 504/252 = 693/252
693/252 simplified gives 11/4
So, 27/36 + 14/7 = 11/4
In mixed form: 23/4

MathStep (Works offline)

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