Add 10/3 and 40/75
1st number: 3 1/3, 2nd number: 40/75
10/3 + 40/75 is 58/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 75 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 3 × 25 = 75,
10/3 = 10 × 25/3 × 25 = 250/75 - Likewise, for the 2nd fraction, since 75 × 1 = 75,
40/75 = 40 × 1/75 × 1 = 40/75 - Add the two like fractions:
250/75 + 40/75 = 250 + 40/75 = 290/75 - 290/75 simplified gives 58/15
- So, 10/3 + 40/75 = 58/15
In mixed form: 313/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/3+40/75 10/3+80/75 10/6+40/75 30/3+40/75 10/9+40/75 50/3+40/75 10/15+40/75 70/3+40/75 10/21+40/75