Add 9/20 and 14/49
9/20 + 14/49 is 103/140.
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,
9/20 = 9 × 49/20 × 49 = 441/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
14/49 = 14 × 20/49 × 20 = 280/980 - Add the two like fractions:
441/980 + 280/980 = 441 + 280/980 = 721/980 - 721/980 simplified gives 103/140
- So, 9/20 + 14/49 = 103/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/20+14/49 9/20+28/49 9/40+14/49 9/20+14/98 27/20+14/49 9/20+42/49 9/60+14/49 45/20+14/49 9/20+70/49 63/20+14/49 9/20+98/49