2018 AMC 12B Problem #17

Let p p and q q be positive integers such that

5 9 < p q < 4 7 \dfrac{5}{9} < \dfrac{p}{q} < \dfrac{4}{7}

and q q is as small as possible. What is q p q - p ?


This problem is part of the 2018 AMC 12B .
17 19 11 7 13

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