Add 27/60 and 60/49, Solve 27/60 + 1 11/49 as a fraction

Add 27/60 and 60/49

1^st number: 27/60, 2^nd number: 1 11/49

27/60 + 60/49 is 1641/980.

Find the least common denominator or LCM of the two denominators:
LCM of 60 and 49 is 2940

Next, find the equivalent fraction of both fractional numbers with denominator 2940
For the 1st fraction, since 60 × 49 = 2940,
27/60 = 27 × 49/60 × 49 = 1323/2940
Likewise, for the 2nd fraction, since 49 × 60 = 2940,
60/49 = 60 × 60/49 × 60 = 3600/2940
Add the two like fractions:
1323/2940 + 3600/2940 = 1323 + 3600/2940 = 4923/2940
4923/2940 simplified gives 1641/980
So, 27/60 + 60/49 = 1641/980
In mixed form: 1661/980

MathStep (Works offline)

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