Question

which grid has \\(\frac{1}{2}\\) shaded?

Explanation:

Step1: Analyze each grid's total and shaded cells

• Top - left grid: Let's count total columns (3) and rows (6). Total cells = \(3\times6 = 18\). Shaded cells: 2 columns × 6 rows = 12? Wait, no, looking at the grid, the shaded part is 2 columns (blue) and 1 column white? Wait, no, the grid has 3 columns (blue: 2, white:1) and 6 rows. Wait, maybe better to check the last grid (bottom - right). Let's re - examine:
• Bottom - right grid: The grid is divided into 2 equal parts (columns), 1 part shaded. So total parts = 2, shaded parts = 1. So fraction is \(\frac{1}{2}\).
• Let's verify others:
• Top - left: Suppose columns: 3 (2 blue, 1 white), rows:6. Shaded cells = 2×6 = 12, total = 18. Fraction=\(\frac{12}{18}=\frac{2}{3}

eq\frac{1}{2}\).

• Top - right: Shaded cells: 2 rows × 3 columns = 6, total cells: 5 rows × 3 columns = 15. Fraction=\(\frac{6}{15}=\frac{2}{5}

eq\frac{1}{2}\).

• Bottom - left: Shaded cells: 3 rows × 3 columns = 9, total cells: 6 rows × 3 columns = 18. Fraction=\(\frac{9}{18}=\frac{1}{2}\)? Wait, no, rows: top white (3 rows), bottom shaded (3 rows). Total rows = 6, shaded rows = 3. Columns = 3. So total cells = 6×3 = 18, shaded cells = 3×3 = 9. \(\frac{9}{18}=\frac{1}{2}\)? Wait, but the bottom - right grid: columns are 2, 1 shaded. So which is correct? Wait, the bottom - right grid: the grid is split into 2 vertical columns, 1 is shaded. So if the grid has, say, 6 rows and 2 columns, total cells = 12, shaded cells = 6. \(\frac{6}{12}=\frac{1}{2}\). The bottom - left grid: rows are 6 (3 white, 3 shaded), columns 3. Shaded cells = 3×3 = 9, total = 18. \(\frac{9}{18}=\frac{1}{2}\). Wait, but the question is "which grid has \(\frac{1}{2}\) shaded". Let's check the bottom - right grid: it's divided into 2 equal parts (columns), so 1 part shaded, so fraction is \(\frac{1}{2}\). The bottom - left: rows are divided into 2 equal parts (3 rows each), so shaded is \(\frac{1}{2}\) of rows, but columns are 3. Wait, maybe the bottom - right is more straightforward: 2 columns, 1 shaded. So fraction \(\frac{1}{2}\).

Step2: Confirm the fraction for bottom - right grid

The bottom - right grid is divided into 2 equal vertical sections (columns). One of the two sections is shaded. By the definition of a fraction (part/whole), the fraction of the shaded area is \(\frac{1}{2}\).

Answer:

The bottom - right grid (the grid with a vertical shaded column, where the grid is split into 2 equal vertical parts) has \(\frac{1}{2}\) shaded.