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2014/15 AHSMC Part 1 Problem 1

Problem 1 of 16

When the repeating decimal 0.6‾0.\overline{6} is divided by the repeating decimal 0.3‾0.\overline{3}, the quotient is

Answer choices

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Solution

We have 0.6‾÷0.3‾=23÷13=20.\overline{6} \div 0.\overline{3} = \dfrac{2}{3} \div \dfrac{1}{3} = 2. The answer is (B).

University of Alberta