Subtract 45/84 from 40/75
40/75 - 45/84 is -1/420.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
45/84 = 45 × 25/84 × 25 = 1125/2100 - Subtract the two like fractions:
1120/2100 - 1125/2100 = 1120 - 1125/2100 = -5/2100 - After reducing the fraction, the answer is -1/420
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