Add 49/21 and 27/12, Solve 2 7/21 + 2 3/12 as a fraction

Add 49/21 and 27/12

1^st number: 2 7/21, 2^nd number: 2 3/12

49/21 + 27/12 is 55/12.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 12 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 21 × 4 = 84,
49/21 = 49 × 4/21 × 4 = 196/84
Likewise, for the 2nd fraction, since 12 × 7 = 84,
27/12 = 27 × 7/12 × 7 = 189/84
Add the two like fractions:
196/84 + 189/84 = 196 + 189/84 = 385/84
385/84 simplified gives 55/12
So, 49/21 + 27/12 = 55/12
In mixed form: 47/12

MathStep (Works offline)

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