Add 40/72 and 24/42
40/72 + 24/42 is 71/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 42 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
40/72 = 40 × 7/72 × 7 = 280/504 - Likewise, for the 2nd fraction, since 42 × 12 = 504,
24/42 = 24 × 12/42 × 12 = 288/504 - Add the two like fractions:
280/504 + 288/504 = 280 + 288/504 = 568/504 - 568/504 simplified gives 71/63
- So, 40/72 + 24/42 = 71/63
In mixed form: 18/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/72+24/42 40/72+48/42 40/72+24/84 40/72+72/42