Add 30/72 and 40/42
30/72 + 40/42 is 115/84.
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,
30/72 = 30 × 7/72 × 7 = 210/504 - Likewise, for the 2nd fraction, since 42 × 12 = 504,
40/42 = 40 × 12/42 × 12 = 480/504 - Add the two like fractions:
210/504 + 480/504 = 210 + 480/504 = 690/504 - 690/504 simplified gives 115/84
- So, 30/72 + 40/42 = 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: 60/72+40/42 30/72+80/42 30/72+40/84 90/72+40/42