Add 10/75 and 40/9
1st number: 10/75, 2nd number: 4 4/9
10/75 + 40/9 is 206/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
10/75 = 10 × 3/75 × 3 = 30/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
40/9 = 40 × 25/9 × 25 = 1000/225 - Add the two like fractions:
30/225 + 1000/225 = 30 + 1000/225 = 1030/225 - 1030/225 simplified gives 206/45
- So, 10/75 + 40/9 = 206/45
In mixed form: 426/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/75+40/9 10/75+80/9 10/75+40/18 30/75+40/9 10/75+40/27 50/75+40/9 10/75+40/45 70/75+40/9 10/75+40/63