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2013/14 AHSMC Part 1 Problem 3

Problem 3 of 16

Of the following five fractions, the largest one is

Answer choices

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Solution

The lowest common numerator is 1212. The fractions then become 12900,12894,12896,12897and12898 \frac{12}{900},\quad \frac{12}{894},\quad \frac{12}{896},\quad \frac{12}{897}\quad\text{and}\quad \frac{12}{898} respectively. The answer is (B).