Subtract 10/9 from 40/75, Solve 40/75

Subtract 10/9 from 40/75

1^st number: 40/75, 2^nd number: 1 1/9

40/75 - 10/9 is -26/45.

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,
10/9 = 10 × 25/9 × 25 = 250/225
Subtract the two like fractions:
120/225 - 250/225 = 120 - 250/225 = -130/225
After reducing the fraction, the answer is -26/45

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