Subtract 75/81 from 30/42
30/42 - 75/81 is -40/189.
Steps for subtracting fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 42 × 27 = 1134,
30/42 = 30 × 27/42 × 27 = 810/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
75/81 = 75 × 14/81 × 14 = 1050/1134 - Subtract the two like fractions:
810/1134 - 1050/1134 = 810 - 1050/1134 = -240/1134 - After reducing the fraction, the answer is -40/189
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