Add 45/63 and 84/49, Solve 45/63 + 1 35/49 as a fraction

Add 45/63 and 84/49

1^st number: 45/63, 2^nd number: 1 35/49

45/63 + 84/49 is 17/7.

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

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 63 × 7 = 441,
45/63 = 45 × 7/63 × 7 = 315/441
Likewise, for the 2nd fraction, since 49 × 9 = 441,
84/49 = 84 × 9/49 × 9 = 756/441
Add the two like fractions:
315/441 + 756/441 = 315 + 756/441 = 1071/441
1071/441 simplified gives 17/7
So, 45/63 + 84/49 = 17/7
In mixed form: 23/7

MathStep (Works offline)

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