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Evaluate:

(i) \(\frac{-3}{5}\times\frac{10}{7}\)

(ii) \((\frac{-5}{8})^{-1}\)

(iii) \((-6)^{-1}\)

1 Answer

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(i)

\(\frac{-3}{5}\times\frac{10}{7}\)

\(=\frac{-3\times10}{5\times7}\)

\(=\frac{-30}{35}=\frac{-30\div5}{35\div5}=\frac{-6}{7}\)

(ii)

\((\frac{-5}{8})^{-1}\)

\(=\frac{8}{-5}=\frac{8\times-1}{-5\times-1}=\frac{-8}{5}\)

(iii)

\((-6)^{-1}\)

\(=\frac{1}{-6}=\frac{1\times-1}{-6\times-1}=\frac{-1}{6}\)

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