Add 56/63 and 35/48, Solve 56/63 + 35/48 as a fraction

Add 56/63 and 35/48

56/63 + 35/48 is 233/144.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 48 is 1008

Next, find the equivalent fraction of both fractional numbers with denominator 1008
For the 1st fraction, since 63 × 16 = 1008,
56/63 = 56 × 16/63 × 16 = 896/1008
Likewise, for the 2nd fraction, since 48 × 21 = 1008,
35/48 = 35 × 21/48 × 21 = 735/1008
Add the two like fractions:
896/1008 + 735/1008 = 896 + 735/1008 = 1631/1008
1631/1008 simplified gives 233/144
So, 56/63 + 35/48 = 233/144
In mixed form: 189/144

MathStep (Works offline)

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