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?

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Answer: A — a
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Hint 1 of 2
The ticks are evenly spaced between 1/5 and 1/3; find what each tick adds.
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Hint 2 of 2
1/4 = 0.25 sits a little right of 1/5 = 0.2 - see which arrow lands there.
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Approach: locate 1/4 on the evenly-spaced scale
- From 1/5 = 0.2 to 1/3 = 0.333 the marks are evenly spaced, and 1/4 = 0.25.
- Measured along the scale, 0.25 lands on the leftmost lettered arrow.
- That arrow is a.
Mark:
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