Add 30/49 and 42/60
30/49 + 42/60 is 643/490.
Steps for adding fractions
- 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,
30/49 = 30 × 60/49 × 60 = 1800/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
42/60 = 42 × 49/60 × 49 = 2058/2940 - Add the two like fractions:
1800/2940 + 2058/2940 = 1800 + 2058/2940 = 3858/2940 - 3858/2940 simplified gives 643/490
- So, 30/49 + 42/60 = 643/490
In mixed form: 1153/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/49+42/60 30/49+84/60 30/98+42/60 90/49+42/60