Add 45/24 and 49/40
1st number: 1 21/24, 2nd number: 1 9/40
45/24 + 49/40 is 31/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 24 × 5 = 120,
45/24 = 45 × 5/24 × 5 = 225/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120 - Add the two like fractions:
225/120 + 147/120 = 225 + 147/120 = 372/120 - 372/120 simplified gives 31/10
- So, 45/24 + 49/40 = 31/10
In mixed form: 31/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/24+49/40 45/24+98/40 45/48+49/40 45/24+49/80 45/72+49/40