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Q)

Nadal can throw the ball $16 \large\frac{3}{5}$ feet in the air; Federer can throw the ball $15\large\frac{1}{3}$ feet in the air. How much farther can Nadal throw the ball compared to Federer?

(A) $\; 1\large\frac{7}{15}$ (B) $\; 1\large\frac{2}{15}$ (C) $\; \large\frac{14}{15}$ (D) $\; 1\large\frac{4}{15}$

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A)
Height that Nadal can throw the ball to: $16\large\frac{3}{5}$$ = \large\frac{16\times5+3}{5}$$ = \large\frac{83}{5}$
Height that Federer can throw the ball to: $15\large\frac{1}{3}$$ = \large\frac{15\times3+1}{3}$$ = \large\frac{46}{3}$
Difference in the heights they can throw the ball to: $\;=\large\frac{83}{5}$$-\large\frac{46}{3}$$ = \large\frac{83\times3-46\times5}{15}$
$\;\; = \large\frac{249-230}{15}$$=\large\frac{19}{15}$$ = 1\large\frac{4}{15}$
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