Add 10/20 and 21/49
10/20 + 21/49 is 13/14.
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,
10/20 = 10 × 49/20 × 49 = 490/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
21/49 = 21 × 20/49 × 20 = 420/980 - Add the two like fractions:
490/980 + 420/980 = 490 + 420/980 = 910/980 - 910/980 simplified gives 13/14
- So, 10/20 + 21/49 = 13/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/20+42/49 10/40+21/49 10/20+21/98 30/20+21/49 10/20+63/49 10/60+21/49 50/20+21/49 70/20+21/49