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GRE Quantitative Reasoning QUESTION #8097
Question 1

Compare the two quantities below.

Column A: $1 - \dfrac{1}{27}$

Column B: $\dfrac{8}{9} + \dfrac{1}{81}$

  • Column A is greater✔️
  • Column B is greater
  • The two quantities are equal
  • The relationship cannot be determined from the information given
Correct Answer Explanation

Column A: $1 - \dfrac{1}{27} = \dfrac{27-1}{27} = \dfrac{26}{27}$

Convert to 81 denominator: $\dfrac{26}{27} = \dfrac{78}{81}$

Column B: $\dfrac{8}{9} + \dfrac{1}{81} = \dfrac{72}{81} + \dfrac{1}{81} = \dfrac{73}{81}$

Since $\dfrac{78}{81} > \dfrac{73}{81}$, Column A is greater.