Add 40/49 and 45/20
1st number: 40/49, 2nd number: 2 5/20
40/49 + 45/20 is 601/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 49 × 20 = 980,
40/49 = 40 × 20/49 × 20 = 800/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
45/20 = 45 × 49/20 × 49 = 2205/980 - Add the two like fractions:
800/980 + 2205/980 = 800 + 2205/980 = 3005/980 - 3005/980 simplified gives 601/196
- So, 40/49 + 45/20 = 601/196
In mixed form: 313/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+45/20 40/49+90/20 40/98+45/20 40/49+45/40 40/49+45/60