Add 40/60 and 75/32
1st number: 40/60, 2nd number: 2 11/32
40/60 + 75/32 is 289/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 60 × 8 = 480,
40/60 = 40 × 8/60 × 8 = 320/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
75/32 = 75 × 15/32 × 15 = 1125/480 - Add the two like fractions:
320/480 + 1125/480 = 320 + 1125/480 = 1445/480 - 1445/480 simplified gives 289/96
- So, 40/60 + 75/32 = 289/96
In mixed form: 31/96
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/60+75/32 40/60+75/64 40/60+75/96