Add 21/12 and 27/49, Solve 1 9/12 + 27/49 as a fraction

Add 21/12 and 27/49

1^st number: 1 9/12, 2^nd number: 27/49

21/12 + 27/49 is 451/196.

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,
21/12 = 21 × 49/12 × 49 = 1029/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
27/49 = 27 × 12/49 × 12 = 324/588
Add the two like fractions:
1029/588 + 324/588 = 1029 + 324/588 = 1353/588
1353/588 simplified gives 451/196
So, 21/12 + 27/49 = 451/196
In mixed form: 259/196

MathStep (Works offline)

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