Add 35/49 and 49/56
35/49 + 49/56 is 89/56.
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,
35/49 = 35 × 8/49 × 8 = 280/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
49/56 = 49 × 7/56 × 7 = 343/392 - Add the two like fractions:
280/392 + 343/392 = 280 + 343/392 = 623/392 - 623/392 simplified gives 89/56
- So, 35/49 + 49/56 = 89/56
In mixed form: 133/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/49+49/56 35/49+98/56 35/98+49/56