Add 7/27 and 4/40, Solve 7/27 + 4/40 as a fraction

Add 7/27 and 4/40

7/27 + 4/40 is 97/270.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 27 × 40 = 1080,
7/27 = 7 × 40/27 × 40 = 280/1080
Likewise, for the 2nd fraction, since 40 × 27 = 1080,
4/40 = 4 × 27/40 × 27 = 108/1080
Add the two like fractions:
280/1080 + 108/1080 = 280 + 108/1080 = 388/1080
388/1080 simplified gives 97/270
So, 7/27 + 4/40 = 97/270

MathStep (Works offline)

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