Add 27/20 and 35/12, Solve 1 7/20 + 2 11/12 as a fraction

Add 27/20 and 35/12

1^st number: 1 7/20, 2^nd number: 2 11/12

27/20 + 35/12 is 64/15.

Find the least common denominator or LCM of the two denominators:
LCM of 20 and 12 is 60

Next, find the equivalent fraction of both fractional numbers with denominator 60
For the 1st fraction, since 20 × 3 = 60,
27/20 = 27 × 3/20 × 3 = 81/60
Likewise, for the 2nd fraction, since 12 × 5 = 60,
35/12 = 35 × 5/12 × 5 = 175/60
Add the two like fractions:
81/60 + 175/60 = 81 + 175/60 = 256/60
256/60 simplified gives 64/15
So, 27/20 + 35/12 = 64/15
In mixed form: 44/15

MathStep (Works offline)

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