Converting Circle Sectors: Write the Fraction from the Shaded Quadrants

Fraction Representation with Visual Circle Models

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 sketch to simple fraction
00:03 To convert to fraction, what's red will be in numerator and black in denominator
00:07 It appears the whole is divided into 4 parts
00:12 Therefore in denominator we'll put 4
00:16 Out of all parts, only 3 are colored
00:20 Therefore we'll put 3 in numerator
00:23 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 4 parts, 3 parts are colored.

34 \frac{3}{4}

3

Final Answer

34 \frac{3}{4}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Denominator equals total parts, numerator equals shaded parts
  • Technique: Count 4 total sectors, 3 are shaded = 34 \frac{3}{4}
  • Check: Verify 3 shaded + 1 unshaded = 4 total parts ✓

Common Mistakes

Avoid these frequent errors
  • Counting unshaded parts as numerator
    Don't count the 1 unshaded part as numerator = 14 \frac{1}{4} ! The fraction represents the shaded portion, not the unshaded portion. Always count the colored/shaded parts for the numerator.

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 denominator (bottom number) is always the total number of equal parts in the circle. The numerator (top number) is how many parts are shaded or colored.

What if the circle looks like it has more or fewer parts?

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Count carefully! Look for the dividing lines that separate each section. This circle has 4 clear sections divided by lines going through the center.

Do I need to simplify the fraction?

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34 \frac{3}{4} is already in simplest form because 3 and 4 share no common factors other than 1. Always check if your fraction can be reduced!

What if I counted wrong and got a different answer?

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Double-check by counting each section one by one. Point to each shaded section and count: 1, 2, 3 shaded out of 4 total sections.

Could the answer be 3 or 4 instead of a fraction?

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No! The question asks for a fraction representing part of a whole. Whole numbers like 3 or 4 would mean you have 3 or 4 complete circles, not parts of one circle.

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