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2022 Math Kangaroo

Problem 1

Problem 1 · 2022 Math Kangaroo Medium
Arithmetic & Operations order-of-operations

What is \(\dfrac{20\cdot 22}{(2+0)\cdot(2+2)}\)?

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Answer: D — 55
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Hint 1 of 2
Read the bottom factors carefully: (2+0) is not zero.
Still stuck? Show hint 2 →
Hint 2 of 2
Just simplify the denominator first, then divide.
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Approach: evaluate the expression
  1. The top is 20*22 = 440.
  2. The bottom is (2+0)*(2+2) = 2*4 = 8.
  3. 440 / 8 = 55.
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