Converting Visual Circle Sectors to Fraction Notation

Question

Write the fraction shown in the drawing:

Video Solution

Solution Steps

00:00 Convert from visual representation to mathematical representation of the fraction
00:03 Count the division cells of the whole (denominator)
00:15 Count the number of colored parts (numerator)
00:21 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Count the total number of equal sections in the circle.
  • Step 2: Count the number of shaded sections in the circle.
  • Step 3: Form a fraction with the number of shaded sections as the numerator and the total number of sections as the denominator.

Now, let's work through each step:

Step 1: The circle is divided into 8 equal sections. This is our total number of parts, which will be the denominator of our fraction.

Step 2: Count the number of shaded sections. The drawing shows 4 sections shaded out of 8 total sections.

Step 3: Using the formula for a fraction Number of shaded partsTotal number of parts\frac{\text{Number of shaded parts}}{\text{Total number of parts}}, we find the fraction: 48\frac{4}{8}.

Comparing this with the provided choices, we see that 48\frac{4}{8} is one of the options.

Therefore, the solution to the problem is 48\frac{4}{8}.

Answer

48 \frac{4}{8}