Add 21/49 and 16/20
21/49 + 16/20 is 43/35.
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,
21/49 = 21 × 20/49 × 20 = 420/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
16/20 = 16 × 49/20 × 49 = 784/980 - Add the two like fractions:
420/980 + 784/980 = 420 + 784/980 = 1204/980 - 1204/980 simplified gives 43/35
- So, 21/49 + 16/20 = 43/35
In mixed form: 18/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+16/20 21/49+32/20 21/98+16/20 21/49+16/40 63/49+16/20 21/49+48/20 21/49+16/60 21/49+80/20