Add 14/49 and 15/56
14/49 + 15/56 is 31/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
14/49 = 14 × 8/49 × 8 = 112/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
15/56 = 15 × 7/56 × 7 = 105/392 - Add the two like fractions:
112/392 + 105/392 = 112 + 105/392 = 217/392 - 217/392 simplified gives 31/56
- So, 14/49 + 15/56 = 31/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+15/56 14/49+30/56 14/98+15/56 42/49+15/56 14/49+45/56 70/49+15/56 14/49+75/56 98/49+15/56