Add 10/49 and 14/36
10/49 + 14/36 is 523/882.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 49 × 36 = 1764,
10/49 = 10 × 36/49 × 36 = 360/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
14/36 = 14 × 49/36 × 49 = 686/1764 - Add the two like fractions:
360/1764 + 686/1764 = 360 + 686/1764 = 1046/1764 - 1046/1764 simplified gives 523/882
- So, 10/49 + 14/36 = 523/882
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/49+14/36 10/49+28/36 10/98+14/36 10/49+14/72 30/49+14/36 10/49+42/36 50/49+14/36 10/49+70/36 70/49+14/36 10/49+98/36