Add 40/75 and 16/9
1st number: 40/75, 2nd number: 1 7/9
40/75 + 16/9 is 104/45.
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,
40/75 = 40 × 3/75 × 3 = 120/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
16/9 = 16 × 25/9 × 25 = 400/225 - Add the two like fractions:
120/225 + 400/225 = 120 + 400/225 = 520/225 - 520/225 simplified gives 104/45
- So, 40/75 + 16/9 = 104/45
In mixed form: 214/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+16/9 40/75+32/9 40/75+16/18 40/75+48/9 40/75+16/27 40/75+80/9 40/75+16/45 40/75+16/63