Add 45/32 and 27/72, Solve 1 13/32 + 27/72 as a fraction

Add 45/32 and 27/72

1^st number: 1 13/32, 2^nd number: 27/72

45/32 + 27/72 is 57/32.

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 72 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 32 × 9 = 288,
45/32 = 45 × 9/32 × 9 = 405/288
Likewise, for the 2nd fraction, since 72 × 4 = 288,
27/72 = 27 × 4/72 × 4 = 108/288
Add the two like fractions:
405/288 + 108/288 = 405 + 108/288 = 513/288
513/288 simplified gives 57/32
So, 45/32 + 27/72 = 57/32
In mixed form: 125/32

MathStep (Works offline)

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