JAMB Mathematics 1990 Question 11

Question 11

Algebraic Expressions

Simplify (1/x−1 ÷ 1/y−1)−1

  1. A.x/y
  2. B.xy
  3. C.y/x
  4. D.(xy)−1
Show the answer and explanation

Answer: C (y/x)

Explanation

1/x−1 = x and 1/y−1 = y, so the bracket is x/y. Its reciprocal is y/x.