Problem 2 · 2013 Math Kangaroo
Easy
Fractions, Decimals & Percents
factorizationfraction-to-decimal
We know that \(\frac{1111}{101} = 11\). How big is the sum \(\frac{3333}{101} + \frac{6666}{303}\)?
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Answer: D — 55
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Hint 1 of 2
Notice 3333 = 3×1111 and 6666 = 6×1111, and 303 = 3×101.
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Hint 2 of 2
Use the given fact 1111/101 = 11 to rewrite each fraction.
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Approach: factor out 1111/101
- 3333/101 = 3 × (1111/101) = 3 × 11 = 33.
- 6666/303 = (6×1111)/(3×101) = 2 × (1111/101) = 2 × 11 = 22.
- Add: 33 + 22 = 55.
Mark:
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