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2012 AMC 8 Question 20

AMC8 · 2012 AMC 8

Question 20

What is the correct ordering of the three numbers $ \frac{5}{19} ,$ $ \frac{7}{21} ,$ and $ \frac{9}{23} ,$ in increasing order?
  1. $ \dfrac{9}{23} \lt \dfrac{7}{21} \lt \dfrac{5}{19}$
  2. $ \dfrac{5}{19} \lt \dfrac{7}{21} \lt
    \dfrac{9}{23}$
  3. $\dfrac{9}{23} \lt \dfrac{5}{19} \lt \dfrac{7}{21} $
  4. $ \dfrac{5}{19} \lt \dfrac{9}{23} \lt \dfrac{7}{21}$
  5. $\dfrac{7}{21} \lt \dfrac{5}{19} \lt \dfrac{9}{23} $