Add 10/30 and 75/32
1st number: 10/30, 2nd number: 2 11/32
10/30 + 75/32 is 257/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
10/30 = 10 × 16/30 × 16 = 160/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
75/32 = 75 × 15/32 × 15 = 1125/480 - Add the two like fractions:
160/480 + 1125/480 = 160 + 1125/480 = 1285/480 - 1285/480 simplified gives 257/96
- So, 10/30 + 75/32 = 257/96
In mixed form: 265/96
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+75/32 10/60+75/32 10/30+75/64 10/90+75/32 10/30+75/96 50/30+75/32 70/30+75/32