Add 8/12 and 21/49
8/12 + 21/49 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
8/12 = 8 × 49/12 × 49 = 392/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
21/49 = 21 × 12/49 × 12 = 252/588 - Add the two like fractions:
392/588 + 252/588 = 392 + 252/588 = 644/588 - 644/588 simplified gives 23/21
- So, 8/12 + 21/49 = 23/21
In mixed form: 12/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/12+21/49 8/12+42/49 8/24+21/49 8/12+21/98 24/12+21/49 8/12+63/49 8/36+21/49 40/12+21/49 8/60+21/49 56/12+21/49 8/84+21/49