Convert Grid Representations to Fractions: Interpreting Shaded Regions

Question

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we'll analyze the fraction depicted in the drawing of shaded rectangles.

Steps to find the fraction:

  • Step 1: Count the Total Number of Parts
    In the drawing, identify the number of divisions in each rectangle. It appears there are 9 total sections across all of the rectangles depicted.
  • Step 2: Count the Shaded Parts
    The number of shaded sections is key to identifying the numerator of the fraction. Count all visible shaded parts; there are 5 shaded sections in total.
  • Step 3: Formulate the Fraction
    Using the standard formula for fractions, we have:
    Fraction=Number of Shaded SectionsTotal Number of Sections\text{Fraction} = \frac{\text{Number of Shaded Sections}}{\text{Total Number of Sections}}
    Using our counted numbers, 59\frac{5}{9}.

Therefore, the fraction represented by the shaded sections in the drawing is 59\frac{5}{9}.

Answer

59 \frac{5}{9}