Add 6/49 and 81/60, Solve 6/49 + 1 21/60 as a fraction

Add 6/49 and 81/60

1^st number: 6/49, 2^nd number: 1 21/60

6/49 + 81/60 is 1443/980.

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

Next, find the equivalent fraction of both fractional numbers with denominator 2940
For the 1st fraction, since 49 × 60 = 2940,
6/49 = 6 × 60/49 × 60 = 360/2940
Likewise, for the 2nd fraction, since 60 × 49 = 2940,
81/60 = 81 × 49/60 × 49 = 3969/2940
Add the two like fractions:
360/2940 + 3969/2940 = 360 + 3969/2940 = 4329/2940
4329/2940 simplified gives 1443/980
So, 6/49 + 81/60 = 1443/980
In mixed form: 1463/980

MathStep (Works offline)

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