Add 42/60 and 54/98, Solve 42/60 + 54/98 as a fraction

Add 42/60 and 54/98

42/60 + 54/98 is 613/490.

Find the least common denominator or LCM of the two denominators:
LCM of 60 and 98 is 2940

Next, find the equivalent fraction of both fractional numbers with denominator 2940
For the 1st fraction, since 60 × 49 = 2940,
42/60 = 42 × 49/60 × 49 = 2058/2940
Likewise, for the 2nd fraction, since 98 × 30 = 2940,
54/98 = 54 × 30/98 × 30 = 1620/2940
Add the two like fractions:
2058/2940 + 1620/2940 = 2058 + 1620/2940 = 3678/2940
3678/2940 simplified gives 613/490
So, 42/60 + 54/98 = 613/490
In mixed form: 1123/490

MathStep (Works offline)

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