Add 63/27 and 6/49, Solve 2 9/27 + 6/49 as a fraction

Add 63/27 and 6/49

1^st number: 2 9/27, 2^nd number: 6/49

63/27 + 6/49 is 361/147.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
63/27 = 63 × 49/27 × 49 = 3087/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
6/49 = 6 × 27/49 × 27 = 162/1323
Add the two like fractions:
3087/1323 + 162/1323 = 3087 + 162/1323 = 3249/1323
3249/1323 simplified gives 361/147
So, 63/27 + 6/49 = 361/147
In mixed form: 267/147

MathStep (Works offline)

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