Add 24/49 and 63/27, Solve 24/49 + 2 9/27 as a fraction

Add 24/49 and 63/27

1^st number: 24/49, 2^nd number: 2 9/27

24/49 + 63/27 is 415/147.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 49 × 27 = 1323,
24/49 = 24 × 27/49 × 27 = 648/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
63/27 = 63 × 49/27 × 49 = 3087/1323
Add the two like fractions:
648/1323 + 3087/1323 = 648 + 3087/1323 = 3735/1323
3735/1323 simplified gives 415/147
So, 24/49 + 63/27 = 415/147
In mixed form: 2121/147

MathStep (Works offline)

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