Add 32/27 and 27/20, Solve 1 5/27 + 1 7/20 as a fraction

Add 32/27 and 27/20

1^st number: 1 5/27, 2^nd number: 1 7/20

32/27 + 27/20 is 1369/540.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 20 is 540

Next, find the equivalent fraction of both fractional numbers with denominator 540
For the 1st fraction, since 27 × 20 = 540,
32/27 = 32 × 20/27 × 20 = 640/540
Likewise, for the 2nd fraction, since 20 × 27 = 540,
27/20 = 27 × 27/20 × 27 = 729/540
Add the two like fractions:
640/540 + 729/540 = 640 + 729/540 = 1369/540
So, 32/27 + 27/20 = 1369/540
In mixed form: 2289/540

MathStep (Works offline)

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