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Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to 1x+1x+1\frac{1}{x} + \frac{1}{x + 1}?

  • A

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

  • B

    2xx(x+1)\frac{2x}{x(x + 1)}

  • C

    22x+1\frac{2}{2x + 1}

  • D

    2x+1x(x+1)\frac{2x + 1}{x(x + 1)}

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Explanation

Common denominator: (x+1)+xx(x+1)=2x+1x(x+1)\frac{(x + 1) + x}{x(x + 1)} = \frac{2x + 1}{x(x + 1)}.

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