Add 14/49 and 35/18
1st number: 14/49, 2nd number: 1 17/18
14/49 + 35/18 is 281/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 49 × 18 = 882,
14/49 = 14 × 18/49 × 18 = 252/882 - Likewise, for the 2nd fraction, since 18 × 49 = 882,
35/18 = 35 × 49/18 × 49 = 1715/882 - Add the two like fractions:
252/882 + 1715/882 = 252 + 1715/882 = 1967/882 - 1967/882 simplified gives 281/126
- So, 14/49 + 35/18 = 281/126
In mixed form: 229/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+35/18 14/49+70/18 14/98+35/18 14/49+35/36 42/49+35/18 14/49+35/54 70/49+35/18 14/49+35/90 98/49+35/18