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Simplify frac 1 x -1 frac 1 y -1 -1 - JAMB Mathematics 1990 Question

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

A
\(\frac{x}{y}\)
B
xy
C
\(\frac{x}{y}\)
D
(xy)-1
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Correct Option: C

Simplify ((\frac{1}{x^{-1}} + \frac{1}{y^{-1}}))-1 = ((\frac{1}{x^{-1}} + \frac{1}{y^{-1}}))-1

= (x + y)-1 = (\frac{(x)}{y})

= (\frac{x}{y})

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