This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the total number of small squares in the rectangle. The rectangle is 6 small squares wide and 4 small squares high. Total number of squares = 6 × 4 = 24 squares. Step 2: Count the number of shaded gray squares. By counting the gray squares in the image, there are 4 shaded squares. Step 3: Form the fraction of the rectangle that is shaded gray. Fraction shaded = Number of shaded squaresTotal number of squares (4)/(24) Step 4: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 4. (4 ÷ 4)/(24 ÷ 4) = (1)/(6) The fraction of the rectangle that is shaded gray is (1)/(6).