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CEMC Gauss (Grade 7), 2000

Algebra Difficulty 1.0 Junior Find the answer Canada

In the given diagram, all 12 of the small rectangles are the same size. Your task is to completely shade some of the rectangles until $\frac{2}{3}$ of $\frac{3}{4}$ of the diagram is shaded. The number of rectangles you need to shade is

(A) $9$ (B) $3$ (C) $4$ (D) $6$ (E) $8$

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