Add 27/12 and 4/49, Solve 2 3/12 + 4/49 as a fraction

Add 27/12 and 4/49

1^st number: 2 3/12, 2^nd number: 4/49

27/12 + 4/49 is 457/196.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588

Next, find the equivalent fraction of both fractional numbers with denominator 588
For the 1st fraction, since 12 × 49 = 588,
27/12 = 27 × 49/12 × 49 = 1323/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
4/49 = 4 × 12/49 × 12 = 48/588
Add the two like fractions:
1323/588 + 48/588 = 1323 + 48/588 = 1371/588
1371/588 simplified gives 457/196
So, 27/12 + 4/49 = 457/196
In mixed form: 265/196

MathStep (Works offline)

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