The figure below is made up of 9 identical squares. What fraction of the figure is not shaded?

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Worked solution
3
1. Determine the total area of the figure in terms of small squares.
The figure is a grid, so the total area is squares.
2. Calculate the unshaded area in the top and middle rows.
Top row: The top-left and top-middle squares each have half unshaded ( square). The top-right square is completely unshaded ( square). Total for top row = squares.
Middle row: The middle-left square has half unshaded ( square). The middle-middle square is completely unshaded ( square). The middle-right square is completely shaded ( squares). Total for middle row = squares.
3. Calculate the unshaded area in the bottom row.
Bottom row: The unshaded triangle across the bottom-left and bottom-middle squares has a base of squares and a height of square. Its area is square. The bottom-right square has half unshaded ( square). Total for bottom row = squares.
4. Find the total unshaded area and the required fraction.
Total unshaded area = squares.
Fraction of the figure not shaded = .
(option 1)
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