Add 40/42 and 49/72
40/42 + 49/72 is 823/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 42 × 12 = 504,
40/42 = 40 × 12/42 × 12 = 480/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
49/72 = 49 × 7/72 × 7 = 343/504 - Add the two like fractions:
480/504 + 343/504 = 480 + 343/504 = 823/504 - So, 40/42 + 49/72 = 823/504
In mixed form: 1319/504
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+49/72 40/42+98/72 40/84+49/72