Add 9/27 and 21/49
9/27 + 21/49 is 16/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
9/27 = 9 × 49/27 × 49 = 441/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
21/49 = 21 × 27/49 × 27 = 567/1323 - Add the two like fractions:
441/1323 + 567/1323 = 441 + 567/1323 = 1008/1323 - 1008/1323 simplified gives 16/21
- So, 9/27 + 21/49 = 16/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/27+21/49 9/27+42/49 9/54+21/49 9/27+21/98 9/27+63/49 9/81+21/49 45/27+21/49 63/27+21/49