Multiple Choice Question (MCQ)

If x\ne 0, then \dfrac{x+1}{6x}+\dfrac{x+1}{2x}=

  1. \dfrac{2x+2}{3x}

  2. ×

    \dfrac{2x+2}{4x}

  3. ×

    \dfrac{2x+3}{6x}

  4. ×

    \dfrac{2x+2}{8x}

  5. ×

    \dfrac{x+2}{6x}

Collected in the board: Fractions

Steven Zheng posted 1 month ago


Answer


  1. Find a common denominator for the two fractions. 1/6x and 1/2x has a common denominator 6x .

    There's no need to do anything for the fraction \dfrac{x+1}{6x}. But for \dfrac{x+1}{2x} , multiply 3 with both of its denominator and numerator.

    Once the denominators are the same, add the numerators of both fractions. So,

    \dfrac{x+1}{6x}+\dfrac{x+1}{2x}

    = \dfrac{x+1}{6x}+\dfrac{3x+3}{6x}

    =\dfrac{2x+2}{3x}

Steven Zheng posted 1 month ago

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