Add 40/75 and 21/24
40/75 + 21/24 is 169/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 24 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 24 × 25 = 600,
21/24 = 21 × 25/24 × 25 = 525/600 - Add the two like fractions:
320/600 + 525/600 = 320 + 525/600 = 845/600 - 845/600 simplified gives 169/120
- So, 40/75 + 21/24 = 169/120
In mixed form: 149/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+21/24 40/75+42/24 40/75+21/48 40/75+63/24 40/75+21/72