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IMC 2008 Q18

18. In the calculation 1003 ÷ 4995 = \(0.2\dot{0}0\dot{8}\), the number \(0.2\dot{0}0\dot{8}\) represents the recurring decimal fraction 0.2008008008008… . When the answers to the following calculations are arranged in numerical order, which one is in the middle?

  1. A 226 ÷ 1125 = \(0.200\dot{8}\)
  2. B 251 ÷ 1250 = 0.2008
  3. C 497 ÷ 2475 = \(0.20\dot{0}\dot{8}\)
  4. D 1003 ÷ 4995 = \(0.2\dot{0}0\dot{8}\)
  5. E 2008 ÷ 9999 = \(0.\dot{2}00\dot{8}\)

Intermediate Mathematical Challenge 2008, Question 18. © UK Mathematics Trust. Original paper on ukmt.org.uk