16Hit1600
Advanced MathVery hardSubtracting fractions with variable denominators

Advanced Math practice question

For x ≠ 0, which expression is equivalent to 1/x − 1/(2x)?

  1. A. 1/(2x)Correct
  2. B. 1/x
  3. C. −1/(2x)
  4. D. 0

Answer: A. 1/(2x)

1/x = 2/(2x), so 2/(2x) − 1/(2x) = 1/(2x).

Why the other answers are wrong

B. 1/x
1/x would need the subtraction to remove nothing.
C. −1/(2x)
−1/(2x) subtracts in the wrong order.
D. 0
0 would need equal fractions, but 1/x is twice 1/(2x).

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