Add 45/49 and 14/20
45/49 + 14/20 is 793/490.
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,
45/49 = 45 × 20/49 × 20 = 900/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
14/20 = 14 × 49/20 × 49 = 686/980 - Add the two like fractions:
900/980 + 686/980 = 900 + 686/980 = 1586/980 - 1586/980 simplified gives 793/490
- So, 45/49 + 14/20 = 793/490
In mixed form: 1303/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/49+14/20 45/49+28/20 45/98+14/20 45/49+14/40 45/49+42/20 45/49+14/60 45/49+70/20 45/49+98/20