Convert Shaded Circle Sectors to Written Fraction: Visual Math Challenge

Write the fraction shown in the drawing:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from visual representation to mathematical representation of the fraction
00:04 Count the division cells of the whole (denominator)
00:14 Count the number of colored parts (numerator)
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Write the fraction shown in the drawing:

2

Step-by-step solution

The task is to interpret a fraction from a diagram of a circle divided into sections, with some of those sections shaded. Our goal is to express that shading as a fraction in the form Number of Shaded SectionsTotal Number of Sections\frac{\text{Number of Shaded Sections}}{\text{Total Number of Sections}}.

Here are the steps:

  • Step 1: Count the Total Number of Sections
    We need to identify how many sections the whole circle is divided into. By examining the diagram, the circle is divided into 8 equal sections.
  • Step 2: Count the Number of Shaded Sections
    Next, we count the sections that are shaded. The visual shows 2 sections that are shaded.
  • Step 3: Write the Fraction
    Based on our counts, the fraction representing the shaded area is 28\frac{2}{8}, where 2 is the numerator (shaded sections) and 8 is the denominator (total sections).

Therefore, the solution to the problem is 28\frac{2}{8}.

3

Final Answer

28 \frac{2}{8}

Practice Quiz

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Write the fraction as a mixed number:

\( \frac{6}{2}= \)

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