Add 4/27 and 7/49
4/27 + 7/49 is 55/189.
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,
4/27 = 4 × 49/27 × 49 = 196/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
7/49 = 7 × 27/49 × 27 = 189/1323 - Add the two like fractions:
196/1323 + 189/1323 = 196 + 189/1323 = 385/1323 - 385/1323 simplified gives 55/189
- So, 4/27 + 7/49 = 55/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/27+7/49 4/27+14/49 4/54+7/49 4/27+7/98 12/27+7/49 4/27+21/49 4/81+7/49 20/27+7/49 4/27+35/49 28/27+7/49