Identify the Fraction: Converting a 8-Part Circle Diagram

Q: How do I know which sections are shaded?

Look for the sections filled with color or pattern. In this circle, the red-colored sections are shaded. Count only these colored parts for your numerator.

Q: What if the sections look different sizes?

Circle diagrams should always show equal sections. If they look slightly different, it's just the drawing - assume all sections are the same size when counting.

Q: Why is the denominator 8 and not something else?

The denominator equals the total number of sections the circle is divided into. Count all the lines dividing the circle - this one has 8 equal parts.

Q: Can I simplify this fraction?

Yes! Always check if you can simplify. $ \frac{5}{8} $ cannot be simplified further because 5 and 8 share no common factors except 1.

Q: What if I counted wrong?

Double-check by adding: shaded sections + unshaded sections = total sections. If 5 + 3 = 8, your count is correct!

Circle Fractions with Shaded Sections

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)

00:17 Count the number of colored parts (numerator)

00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction shown in the drawing:

Step-by-step solution

The goal is to determine the fraction represented by the shaded portions of a circle. To do this, follow the steps below:

Step 1: Count the total number of equal sections within the circle. In this diagram, the circle is divided into eight equal parts.
Step 2: Count the number of sections that are shaded. There are five parts that are shaded.
Step 3: Write the fraction as the number of shaded parts out of the total number of parts. Hence, the fraction is $\frac{5}{8}$ .

In conclusion, the fraction corresponding to the shaded sections is $\frac{5}{8}$ .

Final Answer

$\frac{5}{8}$

Key Points to Remember

Essential concepts to master this topic

Total Sections: Count all equal parts to find the denominator
Technique: Count shaded parts: 5 out of 8 total sections
Check: Verify 5 shaded + 3 unshaded = 8 total sections ✓

Common Mistakes

Avoid these frequent errors

Counting unshaded sections instead of shaded ones
Don't count the 3 unshaded sections for the numerator = $\frac{3}{8}$ wrong answer! This gives you the fraction of unshaded parts, not shaded parts. Always count the colored/shaded sections for your numerator.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

$\frac{10}{7}=$

FAQ

Everything you need to know about this question

How do I know which sections are shaded?

Look for the sections filled with color or pattern. In this circle, the red-colored sections are shaded. Count only these colored parts for your numerator.

What if the sections look different sizes?

Circle diagrams should always show equal sections. If they look slightly different, it's just the drawing - assume all sections are the same size when counting.

Why is the denominator 8 and not something else?

The denominator equals the total number of sections the circle is divided into. Count all the lines dividing the circle - this one has 8 equal parts.

Can I simplify this fraction?

Yes! Always check if you can simplify. $\frac{5}{8}$ cannot be simplified further because 5 and 8 share no common factors except 1.

What if I counted wrong?

Double-check by adding: shaded sections + unshaded sections = total sections. If 5 + 3 = 8, your count is correct!

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