Add 49/20 and 42/49
1st number: 2 9/20, 2nd number: 42/49
49/20 + 42/49 is 463/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 49 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 20 × 49 = 980,
49/20 = 49 × 49/20 × 49 = 2401/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
42/49 = 42 × 20/49 × 20 = 840/980 - Add the two like fractions:
2401/980 + 840/980 = 2401 + 840/980 = 3241/980 - 3241/980 simplified gives 463/140
- So, 49/20 + 42/49 = 463/140
In mixed form: 343/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/20+42/49 49/20+84/49 49/40+42/49 49/20+42/98 49/60+42/49