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1. $\frac{x}{y} = \frac{4}{5}$

Answer: Option C

Explanation:

\frac{x}{y} = \frac{4}{5} \Rightarrow \frac{y}{x} = \frac{5}{4} \Rightarrow \frac{y - x}{y + x} = \frac{5 - 4}{5 + 4} = \frac{1}{9} ∴ (\frac{5}{8} + \frac{y - x}{y + x}) = \frac{5}{8} + \frac{1}{9} = \frac{45 + 8}{72} = \frac{53}{72}

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