Add 8/49 and 63/54, Solve 8/49 + 1 9/54 as a fraction

Add 8/49 and 63/54

1^st number: 8/49, 2^nd number: 1 9/54

8/49 + 63/54 is 391/294.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 49 × 54 = 2646,
8/49 = 8 × 54/49 × 54 = 432/2646
Likewise, for the 2nd fraction, since 54 × 49 = 2646,
63/54 = 63 × 49/54 × 49 = 3087/2646
Add the two like fractions:
432/2646 + 3087/2646 = 432 + 3087/2646 = 3519/2646
3519/2646 simplified gives 391/294
So, 8/49 + 63/54 = 391/294
In mixed form: 197/294

MathStep (Works offline)

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