Add 21/49 and 10/27
21/49 + 10/27 is 151/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
21/49 = 21 × 27/49 × 27 = 567/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
10/27 = 10 × 49/27 × 49 = 490/1323 - Add the two like fractions:
567/1323 + 490/1323 = 567 + 490/1323 = 1057/1323 - 1057/1323 simplified gives 151/189
- So, 21/49 + 10/27 = 151/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+10/27 21/49+20/27 21/98+10/27 21/49+10/54 63/49+10/27 21/49+30/27 21/49+10/81 21/49+50/27 21/49+70/27