Add 14/36 and 18/49
14/36 + 18/49 is 667/882.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
14/36 = 14 × 49/36 × 49 = 686/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
18/49 = 18 × 36/49 × 36 = 648/1764 - Add the two like fractions:
686/1764 + 648/1764 = 686 + 648/1764 = 1334/1764 - 1334/1764 simplified gives 667/882
- So, 14/36 + 18/49 = 667/882
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/36+18/49 14/36+36/49 14/72+18/49 14/36+18/98 42/36+18/49 14/36+54/49 70/36+18/49 14/36+90/49 98/36+18/49