Add 70/75 and 21/40
70/75 + 21/40 is 35/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
70/75 = 70 × 8/75 × 8 = 560/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
21/40 = 21 × 15/40 × 15 = 315/600 - Add the two like fractions:
560/600 + 315/600 = 560 + 315/600 = 875/600 - 875/600 simplified gives 35/24
- So, 70/75 + 21/40 = 35/24
In mixed form: 111/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+42/40 70/75+21/80 70/75+63/40