Subtract 40/84 from 30/75
30/75 - 40/84 is -8/105.
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,
30/75 = 30 × 28/75 × 28 = 840/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Subtract the two like fractions:
840/2100 - 1000/2100 = 840 - 1000/2100 = -160/2100 - After reducing the fraction, the answer is -8/105
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