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Equivalent Expressions

SAT Math· difficulty 5/5

Which is equivalent to 11−1x\frac{1}{1 - \frac{1}{x}}?

  • A

    xx−1\frac{x}{x - 1}

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  • B

    x−1x - 1

  • C

    x−1x\frac{x - 1}{x}

  • D

    1x−1\frac{1}{x - 1}

Explanation

1−1x=x−1x1 - \frac{1}{x} = \frac{x - 1}{x}, so 1(x−1)/x=xx−1\frac{1}{(x-1)/x} = \frac{x}{x - 1}.

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