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Australian AMC 2014 - Upper Primary Question 18

AMC AUSTRALIA · Australian AMC 2014 - Upper Primary

Question 18

Ancient Egyptian mathematicians used fractions but only with a numerator of 1, such as 1/2, 1/7 or 1/14. They made other fractions by adding these fractions together. For example, 3/4 was written as 1/2 + 1/4. Which of the following is an Ancient Egyptian way of writing 11/16?
  1. 1/2 + 1/4 + 1/10
  2. 1/2 + 1/8 + 1/16
  3. 1/4 + 1/8 + 1/16
  4. 1/2 + 1/4 + 1/8 + 1/16
  5. 1/3 + 1/6 + 1/2