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Question

By what rational number should the sum of $\frac{18}{3}$ and $\frac{- 7}{15}$ be divided to get $\frac{47}{6}$

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Solution

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$S u m = \frac{18}{3} - \frac{7}{15} = \frac{83}{15}$

let number be 'x'

$\frac{\frac{83}{15}}{x} = \frac{47}{6} \Rightarrow \frac{83 \times 6}{15 \times 47} = x$

$x = \frac{166}{235}$

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