Add 28/49 and 42/27, Solve 28/49 + 1 15/27 as a fraction

Add 28/49 and 42/27

1^st number: 28/49, 2^nd number: 1 15/27

28/49 + 42/27 is 134/63.

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,
28/49 = 28 × 27/49 × 27 = 756/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
42/27 = 42 × 49/27 × 49 = 2058/1323
Add the two like fractions:
756/1323 + 2058/1323 = 756 + 2058/1323 = 2814/1323
2814/1323 simplified gives 134/63
So, 28/49 + 42/27 = 134/63
In mixed form: 28/63

MathStep (Works offline)

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