Add 36/42 and 28/72
36/42 + 28/72 is 157/126.
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,
36/42 = 36 × 12/42 × 12 = 432/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
28/72 = 28 × 7/72 × 7 = 196/504 - Add the two like fractions:
432/504 + 196/504 = 432 + 196/504 = 628/504 - 628/504 simplified gives 157/126
- So, 36/42 + 28/72 = 157/126
In mixed form: 131/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+28/72 36/42+56/72 36/84+28/72 36/42+84/72