Add 4/32 and 42/36, Solve 4/32 + 1 6/36 as a fraction

Add 4/32 and 42/36

1^st number: 4/32, 2^nd number: 1 6/36

4/32 + 42/36 is 31/24.

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 36 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 32 × 9 = 288,
4/32 = 4 × 9/32 × 9 = 36/288
Likewise, for the 2nd fraction, since 36 × 8 = 288,
42/36 = 42 × 8/36 × 8 = 336/288
Add the two like fractions:
36/288 + 336/288 = 36 + 336/288 = 372/288
372/288 simplified gives 31/24
So, 4/32 + 42/36 = 31/24
In mixed form: 17/24

MathStep (Works offline)

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