What fraction of the rectangle is shaded gray?

Step 1: Analyze the rectangle for Question 3. The rectangle is divided into 4 parts by thick lines. • The top-left part has 3 squares across and 2 squares down, so it contains $3 \times 2 = 6$ small squares. • The top-right part has 3 squares across and 2 squares down, so it contains $3 \times 2 = 6$ small squares. • The bottom-left part has 3 squares across and 2 squares down, so it contains $3 \times 2 = 6$ small squares. • The bottom-right part has 3 squares across and 2 squares down, so it contains $3 \times 2 = 6$ small squares.

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

Step 2: Determine the total number of squares for Question 4. The rectangle is 6 squares wide and 4 squares high. Total number of squares = $6 \times 4 = 24$ squares.

Step 3: Determine the number of shaded squares. Count the gray shaded squares: there are 4 shaded squares.

Step 4: Calculate the fraction of the rectangle that is shaded gray. 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 $\boxed{\frac{1}{6}}$.