Add 12/32 and 75/9, Solve 12/32 + 8 3/9 as a fraction

Add 12/32 and 75/9

1^st number: 12/32, 2^nd number: 8 3/9

12/32 + 75/9 is 209/24.

Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 32 × 9 = 288,
12/32 = 12 × 9/32 × 9 = 108/288
Likewise, for the 2nd fraction, since 9 × 32 = 288,
75/9 = 75 × 32/9 × 32 = 2400/288
Add the two like fractions:
108/288 + 2400/288 = 108 + 2400/288 = 2508/288
2508/288 simplified gives 209/24
So, 12/32 + 75/9 = 209/24
In mixed form: 817/24

MathStep (Works offline)

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