What what fraction of the rectangle is shaded Gray

Mathematics

ScanSolve AI Answer

Answer

16\frac{1}{6}

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=246 \times 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 = NumberofshadedsquaresTotalnumberofsquares\frac{Number of shaded squares}{Total number of squares} 424\frac{4}{24}

Step 4: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor, which is 4. 4÷424÷4=16\frac{4 \div 4}{24 \div 4} = \frac{1}{6}

The fraction of the rectangle that is shaded gray is 16\boxed{\frac{1}{6}}.

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Quick Answer

Determine the total number of small squares in the rectangle. The rectangle is 6 small squares wide and 4 small squares high.

What what fraction of the rectangle is shaded Gray
Mathematics

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).