Add 21/49 and 14/18
21/49 + 14/18 is 76/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 49 × 18 = 882,
21/49 = 21 × 18/49 × 18 = 378/882 - Likewise, for the 2nd fraction, since 18 × 49 = 882,
14/18 = 14 × 49/18 × 49 = 686/882 - Add the two like fractions:
378/882 + 686/882 = 378 + 686/882 = 1064/882 - 1064/882 simplified gives 76/63
- So, 21/49 + 14/18 = 76/63
In mixed form: 113/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+14/18 21/49+28/18 21/98+14/18 21/49+14/36 63/49+14/18 21/49+42/18 21/49+14/54 21/49+70/18 21/49+14/90 21/49+98/18