Add 36/27 and 7/49
1st number: 1 9/27, 2nd number: 7/49
36/27 + 7/49 is 31/21.
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,
36/27 = 36 × 49/27 × 49 = 1764/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
7/49 = 7 × 27/49 × 27 = 189/1323 - Add the two like fractions:
1764/1323 + 189/1323 = 1764 + 189/1323 = 1953/1323 - 1953/1323 simplified gives 31/21
- So, 36/27 + 7/49 = 31/21
In mixed form: 110/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/27+7/49 36/27+14/49 36/54+7/49 36/27+7/98 36/27+21/49 36/81+7/49 36/27+35/49