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Which of the following is between \(\dfrac{13}{17}\) and \(\dfrac{17}{21}?\)

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Which of the following is between \(\dfrac{13}{17}\) and \(\dfrac{17}{21}?\)

by Vincen » Sun Dec 26, 2021 9:19 am

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Which of the following is between \(\dfrac{13}{17}\) and \(\dfrac{17}{21}?\)

\(A. \dfrac{1}{3}\)
\(B. \dfrac{3}{8}\)
\(C. \dfrac{1}{2}\)
\(D. \dfrac{5}{8}\)
\(E. \dfrac{7}{9}\)

Answer: E

Source: Manhattan GMAT
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Re: Which of the following is between \(\dfrac{13}{17}\) and \(\dfrac{17}{21}?\)

by regor60 » Sun Dec 26, 2021 9:46 am
Adding 1 to the numerator and denominator of 13/17 yields 14/18, or 7/9.

Adding 1 to 13 is a greater percentage change to the numerator than adding 1 to 17 is to the denominator.

This must mean that 13/17 is slightly less than 7/9.

Answer choiceE would seem to be the best fit
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