Subtract 28/9 from 40/75
1st number: 40/75, 2nd number: 3 1/9
40/75 - 28/9 is -116/45.
Steps for subtracting 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,
28/9 = 28 × 25/9 × 25 = 700/225 - Subtract the two like fractions:
120/225 - 700/225 = 120 - 700/225 = -580/225 - After reducing the fraction, the answer is -116/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75-28/9 40/75-56/9 40/75-28/18 40/75-84/9 40/75-28/27 40/75-28/45 40/75-28/63