Add 42/56 and 90/63, Solve 42/56 + 1 27/63 as a fraction

Add 42/56 and 90/63

1^st number: 42/56, 2^nd number: 1 27/63

42/56 + 90/63 is 61/28.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 63 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 63 × 8 = 504,
90/63 = 90 × 8/63 × 8 = 720/504
Add the two like fractions:
378/504 + 720/504 = 378 + 720/504 = 1098/504
1098/504 simplified gives 61/28
So, 42/56 + 90/63 = 61/28
In mixed form: 25/28

MathStep (Works offline)

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