Subtract 20/9 from 40/75
1st number: 40/75, 2nd number: 2 2/9
40/75 - 20/9 is -76/45.
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,
20/9 = 20 × 25/9 × 25 = 500/225 - Subtract the two like fractions:
120/225 - 500/225 = 120 - 500/225 = -380/225 - After reducing the fraction, the answer is -76/45
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