Add 21/20 and 14/49
1st number: 1 1/20, 2nd number: 14/49
21/20 + 14/49 is 187/140.
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,
21/20 = 21 × 49/20 × 49 = 1029/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
14/49 = 14 × 20/49 × 20 = 280/980 - Add the two like fractions:
1029/980 + 280/980 = 1029 + 280/980 = 1309/980 - 1309/980 simplified gives 187/140
- So, 21/20 + 14/49 = 187/140
In mixed form: 147/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/20+14/49 21/20+28/49 21/40+14/49 21/20+14/98 63/20+14/49 21/20+42/49 21/60+14/49 21/20+70/49 21/20+98/49