Problem 4 · 2014 Math Kangaroo
Easy
Fractions, Decimals & Percents
fraction-to-decimal
Which number is an equal distance from 23 and 45 on the number line?
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Answer: A — 1115
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Hint 1 of 2
A point equally far from two numbers is exactly halfway between them.
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Hint 2 of 2
Average the two fractions.
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Approach: midpoint = average of the two values
- The point equidistant from two numbers is their midpoint.
- Average: (2/3 + 4/5) ÷ 2 = (10/15 + 12/15) ÷ 2 = (22/15) ÷ 2 = 11/15.
- So the number is 11/15.
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