Question

what fraction of the shapes are triangles?
image: top row: 4 blue squares; bottom row: 1 blue square, 2 purple triangles, 1 blue square; options: $\frac{2}{8}$, $\frac{2}{6}$, $\frac{5}{6}$, $\frac{2}{3}$

Explanation:

Step1: Count total shapes

Count all squares and triangles. Squares: 5 (first row 4, second row 2? Wait, first row: 4 squares, second row: 3? Wait no, first row: 4 squares (blue), second row: 1 square, 2 triangles, 1 square? Wait looking at the image: first row 4 squares, second row: square, triangle, triangle, square. So total squares: 4 + 2 = 6? Wait no: first row: 4 squares (columns 1 - 4). Second row: column 1: square, column 2: triangle, column 3: triangle, column 4: square. So total shapes: 4 (first row) + 4 (second row) = 8? Wait no, first row has 4 shapes (all squares), second row has 4 shapes (square, triangle, triangle, square). So total shapes: 4 + 4 = 8. Triangles: 2. So fraction is number of triangles / total shapes = 2/8? Wait but wait, let's recount. First row: 4 squares. Second row: square (1), triangle (1), triangle (1), square (1). Wait no, the second row: first is square, then two triangles, then square. So second row: 4 shapes. So total shapes: 4 + 4 = 8. Triangles: 2. So fraction is 2/8? Wait but the options have 2/8, 2/6, 5/6, 2/3. Wait maybe I miscounted. Wait first row: 4 squares. Second row: square, triangle, triangle, square. So second row: 2 squares, 2 triangles. So total squares: 4 + 2 = 6, triangles: 2. Total shapes: 6 + 2 = 8? No, 4 + 4 = 8. Wait 4 (first row) + 4 (second row) = 8. Triangles: 2. So 2/8. Wait but let's check again. First row: 4 squares (columns 1 - 4). Second row: column 1: square, column 2: triangle, column 3: triangle, column 4: square. So second row: 2 squares, 2 triangles. So total shapes: 4 + 4 = 8. Triangles: 2. So fraction is 2/8. Wait but the options: first option is 2/8. Wait maybe I made a mistake. Wait total shapes: 4 (first row) + 4 (second row) = 8. Triangles: 2. So 2/8. Alternatively, maybe total shapes are 6? Wait no, first row 4, second row 4: 8. Wait maybe the second row has 3 shapes? No, the image shows second row: square, triangle, triangle, square: 4 shapes. So total 8. So triangles are 2, total 8, so 2/8.

Step1: Count total shapes

Total shapes = number of squares + number of triangles. Squares: 4 (first row) + 2 (second row) = 6? Wait no, first row: 4 squares, second row: 2 squares (column 1 and 4), 2 triangles (column 2 and 3). So total squares: 4 + 2 = 6, triangles: 2. Total shapes: 6 + 2 = 8. So fraction of triangles = number of triangles / total shapes = 2/8.

Step2: Identify the fraction

The number of triangles is 2, total shapes is 8, so the fraction is $\frac{2}{8}$.

Answer:

$\frac{2}{8}$ (or the option with 2/8, which is the first option: $\frac{2}{8}$)