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A large square is divided into 16 smaller squares and two squares are cut out. Anotheridentical square is divided into 16 smaller squares and two squares are cut out. If this isdone one more time, what fraction of the total squares have been cut out?

Question

A large square is divided into 16 smaller squares and two squares are cut out. Anotheridentical square is divided into 16 smaller squares and two squares are cut out. If this isdone one more time, what fraction of the total squares have been cut out?

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Solution

Sure, let's break this down:

  1. Each large square is divided into 16 smaller squares. So, if we do this three times, we have a total of 3 * 16 = 48 squares.

  2. In each large square, two squares are cut out. So, if we do this three times, we have a total of 3 * 2 = 6 squares cut out.

  3. To find the fraction of the total squares that have been cut out, we divide the number of squares cut out by the total number of squares. So, we have 6 / 48 = 1/8.

Therefore, 1/8 of the total squares have been cut out.

This problem has been solved

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