Express 3 - [\(\frac{x - y}{y}\)] as a single fraction

MATHEMATICS
WAEC 2012

Express 3 - [\(\frac{x - y}{y}\)] as a single fraction

  • A. \(\frac{3xy}{y}\)
  • B. \(\frac{x - 4y}{y}\)
  • C. \(\frac{4y - x}{y}\)
  • D. 3 - \(\frac{x - y}{y}\)

Correct Answer: C. \(\frac{4y - x}{y}\)

Explanation

(\(\frac{x -y}{y}\)); \(\frac{3}{1} - \frac{x y}{y}\)

= \(\frac{3y - (x - y)}{y}\)

= \(\frac{3y - x + y}{y}\)

= \(\frac{4y - x}{y}\)



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