Add 15/40 and 27/32, Solve 15/40 + 27/32 as a fraction

Add 15/40 and 27/32

15/40 + 27/32 is 39/32.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 32 is 160

Next, find the equivalent fraction of both fractional numbers with denominator 160
For the 1st fraction, since 40 × 4 = 160,
15/40 = 15 × 4/40 × 4 = 60/160
Likewise, for the 2nd fraction, since 32 × 5 = 160,
27/32 = 27 × 5/32 × 5 = 135/160
Add the two like fractions:
60/160 + 135/160 = 60 + 135/160 = 195/160
195/160 simplified gives 39/32
So, 15/40 + 27/32 = 39/32
In mixed form: 17/32

MathStep (Works offline)

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