Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to 11x1+1x\dfrac{1 - \frac{1}{x}}{1 + \frac{1}{x}} for x0,1x \ne 0, -1?

  • A

    xx+1\dfrac{x}{x + 1}

  • B

    x1x+1\dfrac{x - 1}{x + 1}

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  • C

    1x1+x\dfrac{1 - x}{1 + x}

  • D

    x+1x1\dfrac{x + 1}{x - 1}

Explanation

Multiply numerator and denominator by xx: x1x+1\dfrac{x - 1}{x + 1}.

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