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Australian AMC 2020 - Intermediate Question 12

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 12

Let $X=1-\frac13+\frac15-\frac17+\frac19-\frac1{11}$ and $Y=1-\frac13+\frac15-\frac17$. Then $X-Y$ is equal to
  1. $\frac2{99}$
  2. $\frac1{11}$
  3. $\frac1{10}$
  4. $\frac12$
  5. $\frac29$