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2009 Math Kangaroo

Problem 23

Problem 23 · 2009 Math Kangaroo Stretch
Fractions, Decimals & Percents fraction-to-decimal

The fractions 13 and 15 are shown on the number line. In which position should 14 be shown?

Figure for Math Kangaroo 2009 Problem 23
Show answer
Answer: A — a
Show hints
Hint 1 of 2
The ticks are evenly spaced between 1/5 and 1/3; find what each tick adds.
Still stuck? Show hint 2 →
Hint 2 of 2
1/4 = 0.25 sits a little right of 1/5 = 0.2 - see which arrow lands there.
Show solution
Approach: locate 1/4 on the evenly-spaced scale
  1. From 1/5 = 0.2 to 1/3 = 0.333 the marks are evenly spaced, and 1/4 = 0.25.
  2. Measured along the scale, 0.25 lands on the leftmost lettered arrow.
  3. That arrow is a.
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