Add 10/49 and 72/63, Solve 10/49 + 1 9/63 as a fraction

Add 10/49 and 72/63

1^st number: 10/49, 2^nd number: 1 9/63

10/49 + 72/63 is 66/49.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 49 × 9 = 441,
10/49 = 10 × 9/49 × 9 = 90/441
Likewise, for the 2nd fraction, since 63 × 7 = 441,
72/63 = 72 × 7/63 × 7 = 504/441
Add the two like fractions:
90/441 + 504/441 = 90 + 504/441 = 594/441
594/441 simplified gives 66/49
So, 10/49 + 72/63 = 66/49
In mixed form: 117/49

MathStep (Works offline)

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