Add 21/2 and 75/32
1st number: 10 1/2, 2nd number: 2 11/32
21/2 + 75/32 is 411/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 32 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 2 × 16 = 32,
21/2 = 21 × 16/2 × 16 = 336/32 - Likewise, for the 2nd fraction, since 32 × 1 = 32,
75/32 = 75 × 1/32 × 1 = 75/32 - Add the two like fractions:
336/32 + 75/32 = 336 + 75/32 = 411/32 - So, 21/2 + 75/32 = 411/32
In mixed form: 1227/32
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/2+75/32 21/4+75/32 21/2+75/64 63/2+75/32 21/6+75/32 21/2+75/96 21/10+75/32 21/14+75/32