Which of the following is the simplified form of the expression
$\frac{4 x + 8 y}{24 x - 12}$

\frac{1}{6} - \frac{2 y}{3}

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\frac{x + 2 y}{6 x - 3}

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\frac{x + 2 y}{2 x - 1}

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\frac{x + 8 y}{6 x - 12}

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Solution

The correct option is B $\frac{x + 2 y}{6 x - 3}$
Taking $4$ common from both Nr. and Dr., we get
$\frac{4 x + 8 y}{24 x - 12} = \frac{4 (x + 2 y)}{4 (6 x - 3)}$
$= \frac{x + 2 y}{6 x - 3}$ , cancelling the common terms from Nr. and Dr.

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