Add 27/18 and 14/49
1st number: 1 9/18, 2nd number: 14/49
27/18 + 14/49 is 25/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 18 × 49 = 882,
27/18 = 27 × 49/18 × 49 = 1323/882 - Likewise, for the 2nd fraction, since 49 × 18 = 882,
14/49 = 14 × 18/49 × 18 = 252/882 - Add the two like fractions:
1323/882 + 252/882 = 1323 + 252/882 = 1575/882 - 1575/882 simplified gives 25/14
- So, 27/18 + 14/49 = 25/14
In mixed form: 111/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/18+14/49 27/18+28/49 27/36+14/49 27/18+14/98 81/18+14/49 27/18+42/49 27/54+14/49 27/18+70/49 27/90+14/49 27/18+98/49