Add 72/40 and 20/27, Solve 1 32/40 + 20/27 as a fraction

Add 72/40 and 20/27

1^st number: 1 32/40, 2^nd number: 20/27

72/40 + 20/27 is 343/135.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 40 × 27 = 1080,
72/40 = 72 × 27/40 × 27 = 1944/1080
Likewise, for the 2nd fraction, since 27 × 40 = 1080,
20/27 = 20 × 40/27 × 40 = 800/1080
Add the two like fractions:
1944/1080 + 800/1080 = 1944 + 800/1080 = 2744/1080
2744/1080 simplified gives 343/135
So, 72/40 + 20/27 = 343/135
In mixed form: 273/135

MathStep (Works offline)

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