Add 42/56 and 49/72, Solve 42/56 + 49/72 as a fraction

Add 42/56 and 49/72

42/56 + 49/72 is 103/72.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 72 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 56 × 9 = 504,
42/56 = 42 × 9/56 × 9 = 378/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
49/72 = 49 × 7/72 × 7 = 343/504
Add the two like fractions:
378/504 + 343/504 = 378 + 343/504 = 721/504
721/504 simplified gives 103/72
So, 42/56 + 49/72 = 103/72
In mixed form: 131/72

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad