16Hit1600
Advanced MathEasy–MediumSubtracting fractions with a variable

Advanced Math practice question

Which expression is equivalent to 5x/6 − x/3?

  1. A. x/2Correct
  2. B. 4x/3
  3. C. 2x/3
  4. D. 5x/18

Answer: A. x/2

Write both over 6: 5x/6 − 2x/6 = 3x/6 = x/2.

Why the other answers are wrong

B. 4x/3
4x/3 subtracts the denominators (6 − 3) and the numerators (5 − 1) separately. Fractions need a common denominator first.
C. 2x/3
2x/3 is 4x/6 — that's what you'd get from 5x/6 − x/6, treating x/3 as x/6.
D. 5x/18
5x/18 multiplies the denominators; subtraction uses a common denominator, not a product.

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