Add 40/75 and 21/32
40/75 + 21/32 is 571/480.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
40/75 = 40 × 32/75 × 32 = 1280/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
21/32 = 21 × 75/32 × 75 = 1575/2400 - Add the two like fractions:
1280/2400 + 1575/2400 = 1280 + 1575/2400 = 2855/2400 - 2855/2400 simplified gives 571/480
- So, 40/75 + 21/32 = 571/480
In mixed form: 191/480
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+21/32 40/75+42/32 40/75+21/64 40/75+63/32 40/75+21/96