What fraction of the rectangle is shaded gray?

Step 1: Analyze the dimensions of the rectangle and its parts for Question 3. The large rectangle is divided into 4 smaller rectangles by thick lines. • The top-left part is 3 small squares wide and 2 small squares high. • The top-right part is 3 small squares wide and 2 small squares high. • The bottom-left part is 3 small squares wide and 2 small squares high. • The bottom-right part is 3 small squares wide and 2 small squares high.

Step 2: Calculate the area of each part for Question 3. The area of each part is the product of its width and height in small squares. • Area of top-left part = $3 \times 2 = 6$ small squares. • Area of top-right part = $3 \times 2 = 6$ small squares. • Area of bottom-left part = $3 \times 2 = 6$ small squares. • Area of bottom-right part = $3 \times 2 = 6$ small squares.

3) Yes, the 4 parts of the rectangle are equal in area. Each part has an area of 6 small squares.

Step 3: Determine the total number of squares for Question 4. The entire rectangle is 6 squares wide and 4 squares high. Total number of squares = $6 \times 4 = 24$ squares.

Step 4: Count the number of shaded squares for Question 4. Count the gray shaded squares in the rectangle. There are 4 shaded squares.

Step 5: Calculate the fraction of the rectangle that is shaded gray for Question 4. Fraction shaded = $\frac{Number of shaded squares}{Total number of squares}$ $\frac{4}{24}$ Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. $\frac{4 \div 4}{24 \div 4} = \frac{1}{6}$

4) The fraction of the rectangle that is shaded gray is $\boxed{\frac{1}{6}}$.