WAEC - Mathematics (2008 - No. 7)
Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)
\(\frac{1}{x + y}\)
\(\frac{1}{xy}\)
x + y
xy
Explicació
\(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\) = \(\frac{\frac{y + x}{xy}}{x + y}\)
= \(\frac{x + y}{xy}\)
= \(\frac{x + y}{xy} \times \frac{1}{x + y}\)
= \(\frac{1}{xy}\)
= \(\frac{x + y}{xy}\)
= \(\frac{x + y}{xy} \times \frac{1}{x + y}\)
= \(\frac{1}{xy}\)