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KöMaL 2012 C1132

    Which of the fractions A=333…33⏞2012 pieces1333…33⏟2012 pieces4andB=222…22⏞2012 pieces1222…22⏟2012 pieces3A=\frac{\overbrace{333\ldots 33}^{2012\text{ pieces}} 1}{\underbrace{333\ldots 33}_{2012\text{ pieces}} 4} \text{and} B=\frac{\overbrace{222\ldots 22}^{2012\text{ pieces}} 1}{\underbrace{222\ldots 22}_{2012\text{ pieces}} 3} is greater?

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