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Adam drew two same size rectangles and divided them into the same number of equal parts. He shaded 1 3rd of one rectangle and 1 4th of the other rectangle. What is the least number of rectangles could be divided?

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sqdancefan

Answer:

  12

Step-by-step explanation:

The least common multiple (LCM) of 3 and 4 is 12. Adam would have to divide each rectangle into a minimum of 12 parts.

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His shading would be 4 parts (4/12 = 1/3) of one of them and 3 parts (3/12 = 1/4) of the other.

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3 and 4 have no common factors, so their LCM is their product. 3×4 = 12.

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