Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)

Assessment: WAEC SSCE - General Mathematics - 2008 (Objective) Subject: General Mathematics

Question 1 Report

Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)
Answer Details
To simplify the expression, we can start by getting a common denominator for the two fractions in the numerator. The common denominator is xy. So, we can write: \begin{align*} \frac{\frac{1}{x} + \frac{1}{y}}{x + y} &= \frac{\frac{y}{xy} + \frac{x}{xy}}{x + y} \\ &= \frac{\frac{x + y}{xy}}{x + y} \\ &= \frac{1}{xy} \end{align*} Therefore, the simplified expression is \(\frac{1}{xy}\).

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