Add 49/56 and 49/50
49/56 + 49/50 is 371/200.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 50 is 1400
Next, find the equivalent fraction of both fractional numbers with denominator 1400 - For the 1st fraction, since 56 × 25 = 1400,
49/56 = 49 × 25/56 × 25 = 1225/1400 - Likewise, for the 2nd fraction, since 50 × 28 = 1400,
49/50 = 49 × 28/50 × 28 = 1372/1400 - Add the two like fractions:
1225/1400 + 1372/1400 = 1225 + 1372/1400 = 2597/1400 - 2597/1400 simplified gives 371/200
- So, 49/56 + 49/50 = 371/200
In mixed form: 1171/200
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/56+49/50 49/56+98/50