Subtract 40/75 from 3/84
3/84 - 40/75 is -209/420.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
3/84 = 3 × 25/84 × 25 = 75/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Subtract the two like fractions:
75/2100 - 1120/2100 = 75 - 1120/2100 = -1045/2100 - After reducing the fraction, the answer is -209/420
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