Add 40/3 and 49/56
1st number: 13 1/3, 2nd number: 49/56
40/3 + 49/56 is 341/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 3 × 56 = 168,
40/3 = 40 × 56/3 × 56 = 2240/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
49/56 = 49 × 3/56 × 3 = 147/168 - Add the two like fractions:
2240/168 + 147/168 = 2240 + 147/168 = 2387/168 - 2387/168 simplified gives 341/24
- So, 40/3 + 49/56 = 341/24
In mixed form: 145/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/3+49/56 40/3+98/56 40/6+49/56 40/9+49/56 40/15+49/56 40/21+49/56