Subtract 9/4 from 10/75, Solve 10/75

Subtract 9/4 from 10/75

1^st number: 10/75, 2^nd number: 2 1/4

10/75 - 9/4 is -127/60.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
9/4 = 9 × 75/4 × 75 = 675/300
Subtract the two like fractions:
40/300 - 675/300 = 40 - 675/300 = -635/300
After reducing the fraction, the answer is -127/60

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad