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Multiplication of Proper Fractions

If x2 = y3,...

Question

If $\frac{x}{2} = \frac{y}{3}$ , then $[\frac{4}{5} + \frac{y - x}{y + x}]$ equals.

A

\frac{3}{5}

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B

\frac{4}{5}

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C

1

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D

\frac{6}{5}

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Solution

The correct option is D $1$
$\frac{x}{y} = \frac{2}{3} \Rightarrow ⎡ ⎢ ⎢ ⎢ ⎣ \frac{4}{5} + \frac{1 - \frac{2}{3}}{1 + \frac{2}{3}} ⎤ ⎥ ⎥ ⎥ ⎦ = [\frac{4}{5} + \frac{1}{5}] = 1$ .

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