If we multiply \(7\frac{5}{9}\) by \(\frac{3}{2}\) we get ………………..

A) 1\(\frac{1}{3}\)

B) 11\(\frac{1}{3}\) 

C) 7\(\frac{1}{2}\)

D) 1\(\frac{1}{2}\)

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2 Answers

Correct option is (B) \(11\frac{1}{3}\)

\(7\frac{5}{9}\) \(\times\) \(\frac{3}{2}\) = \(\frac{7\times9+5}{9}\) \(\times\) \(\frac{3}{2}\) = \(\frac{63+5}{9}\) \(\times\) \(\frac{3}{2}\) \(=\frac{68}{3\times2}\) \(=\frac{34}3=\frac{33+1}3=11+\frac13\) \(=11\frac13.\)

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Correct option is  B) 11\(\frac{1}{3}\) 

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