Converting Circle Sectors to Numerical Fractions: Visual Analysis

Fraction Visualization with Circular Sectors

Write the fraction shown in the drawing, in numbers:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from drawing to simple fraction
00:03 To convert to fraction, what's red will be in numerator and black in denominator
00:07 We can see that the whole is divided into 7 parts
00:17 Therefore in denominator we'll put 7
00:22 Out of all parts, only 3 are colored
00:26 Therefore we'll put 3 in numerator
00:29 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction shown in the drawing, in numbers:

2

Step-by-step solution

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 8 parts, 3 parts are colored.

Hence:

38 \frac{3}{8}

3

Final Answer

38 \frac{3}{8}

Key Points to Remember

Essential concepts to master this topic
  • Parts Rule: Total parts become denominator, shaded parts become numerator
  • Counting Method: Count 8 total sections, then 3 colored sections
  • Verification: Check that 3 colored + 5 uncolored = 8 total parts ✓

Common Mistakes

Avoid these frequent errors
  • Reversing numerator and denominator
    Don't put total parts (8) as numerator and colored parts (3) as denominator = 83 \frac{8}{3} ! This creates an improper fraction greater than 1, which doesn't match the visual where only part of the circle is colored. Always put colored parts on top and total parts on bottom.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

How do I know which number goes on top and which goes on bottom?

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The colored (shaded) parts always go on top as the numerator. The total parts always go on bottom as the denominator. Think: "3 out of 8 parts are colored."

What if the circle looks like it has unequal sections?

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Count carefully! Each line from the center divides the circle into equal sections. In this problem, there are 4 lines creating 8 equal parts, even if they don't look exactly the same size.

Can a fraction from a circle ever be greater than 1?

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No! Since you're showing part of a whole circle, the fraction must be between 0 and 1. If you get a fraction greater than 1, you've switched the numerator and denominator.

How do I count the sections if the lines cross each other?

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Start at any point on the circle and count each section one by one as you go around. Each region enclosed by lines is one section. Don't count the same area twice!

Why does this fraction equal 0.375?

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When you divide: 38=3÷8=0.375 \frac{3}{8} = 3 ÷ 8 = 0.375 . This decimal confirms that less than half the circle is shaded, which matches what you see visually.

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