Add 40/42 and 30/72
40/42 + 30/72 is 115/84.
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,
30/72 = 30 × 7/72 × 7 = 210/504 - Add the two like fractions:
480/504 + 210/504 = 480 + 210/504 = 690/504 - 690/504 simplified gives 115/84
- So, 40/42 + 30/72 = 115/84
In mixed form: 131/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+30/72 40/42+60/72 40/84+30/72 40/42+90/72