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2018 AMC 12B Question 17

AMC12 · 2018 AMC 12B

Question 17

Let $p$ and $q$ be positive integers such that $$
\dfrac{5}{9}\lt\dfrac{p}{q}\lt\dfrac{4}{7}
$$ and $q$ is as small as possible. What is $q-p?$
  1. $7$
  2. $11$
  3. $13$
  4. $17$
  5. $19$