Convert Shaded Blocks to Fraction: Visual Mathematics Exercise

Question

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve the problem, we need to determine the fraction represented by the shaded and unshaded areas in the drawing.

  • Step 1: By closely examining the provided drawing, we note the arrangement of rectangles or sections.
  • Step 2: Count the number of fully shaded (red-colored) rectangles.
  • Step 3: Count the total number of rectangles in the drawing, both shaded and unshaded (i.e., all rectangles present).
  • Step 4: Form a fraction with the number of shaded rectangles as the numerator and the total number of rectangles as the denominator.
  • Step 5: Check for any interpretation errors and ensure all rectangles are counted properly.

Upon examining the given drawing:

  • There are 10 rectangles in total.
  • All 10 rectangles are shaded, implying the entire set is filled.

The resulting fraction is 1010\frac{10}{10}, which is derived by setting the numerator (shaded) equal to the denominator (total). This represents a whole fraction value of 1.

Therefore, the fraction shown in the drawing is 1010\frac{10}{10}.

Upon comparing with provided multiple-choice options, the correct choice is option 3, 1010\frac{10}{10}.

Answer

1010 \frac{10}{10}