Add 45/8 and 21/10
1st number: 5 5/8, 2nd number: 2 1/10
45/8 + 21/10 is 309/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 10 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
45/8 = 45 × 5/8 × 5 = 225/40 - Likewise, for the 2nd fraction, since 10 × 4 = 40,
21/10 = 21 × 4/10 × 4 = 84/40 - Add the two like fractions:
225/40 + 84/40 = 225 + 84/40 = 309/40 - So, 45/8 + 21/10 = 309/40
In mixed form: 729/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/8+21/10 45/8+42/10 45/16+21/10 45/8+21/20 45/8+63/10 45/24+21/10 45/8+21/30 45/40+21/10 45/8+21/50 45/56+21/10 45/8+21/70