Add 20/49 and 98/40
1st number: 20/49, 2nd number: 2 18/40
20/49 + 98/40 is 2801/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
20/49 = 20 × 40/49 × 40 = 800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
98/40 = 98 × 49/40 × 49 = 4802/1960 - Add the two like fractions:
800/1960 + 4802/1960 = 800 + 4802/1960 = 5602/1960 - 5602/1960 simplified gives 2801/980
- So, 20/49 + 98/40 = 2801/980
In mixed form: 2841/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/49+98/40 20/98+98/40 20/49+98/80 60/49+98/40