Add 9/49 and 14/20
9/49 + 14/20 is 433/490.
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,
9/49 = 9 × 20/49 × 20 = 180/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
14/20 = 14 × 49/20 × 49 = 686/980 - Add the two like fractions:
180/980 + 686/980 = 180 + 686/980 = 866/980 - 866/980 simplified gives 433/490
- So, 9/49 + 14/20 = 433/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/49+14/20 9/49+28/20 9/98+14/20 9/49+14/40 27/49+14/20 9/49+42/20 9/49+14/60 45/49+14/20 9/49+70/20 63/49+14/20 9/49+98/20