Convert Circle Sectors to Fraction Words: Reading 5/8 Visually

Reading Circle Fractions with Visual Sectors

Write the fraction shown in the picture, in words:

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction shown in the picture, in words:

2

Step-by-step solution

Step 1: Count the total sections
The circle is divided into 8 equal sections.
Step 2: Count the shaded sections
There are 6 shaded sections in the diagram.
Step 3: Formulate the fraction
The fraction of the shaded area is 68\frac{6}{8}.
Step 4: Express in words
The fraction 68\frac{6}{8} in words is "six eighths".

Therefore, the solution to the problem is "six eighths".

3

Final Answer

Six eighths

Key Points to Remember

Essential concepts to master this topic
  • Count Total: Identify how many equal sections the circle is divided into
  • Count Shaded: Find shaded sections: 6 out of 8 gives 68 \frac{6}{8}
  • Check Reading: Six eighths means 6 shaded parts out of 8 total ✓

Common Mistakes

Avoid these frequent errors
  • Counting only shaded sections for the denominator
    Don't count just the 6 shaded sections = wrong fraction like 6/6! This ignores the unshaded parts and gives you a whole instead of a proper fraction. Always count ALL sections (shaded + unshaded) for the denominator.

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

Why does the denominator equal the total sections?

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The denominator shows how many equal parts the whole circle is divided into. Even if some sections aren't shaded, they're still part of the total division!

How do I know which sections are shaded?

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Look for the colored or filled-in sections. In this circle, the red sections with opacity are the shaded ones - count each red sector carefully.

What if the sections look different sizes?

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For fraction problems, assume all sections are equal unless told otherwise. The visual might look slightly uneven, but mathematically they represent equal parts.

How do I write fractions in words?

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Use the pattern: [numerator number] [denominator name]. So 68 \frac{6}{8} becomes 'six eighths' - the denominator 8 becomes 'eighths'.

Should I simplify the fraction first?

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For this type of question, write exactly what you see! 68 \frac{6}{8} is 'six eighths', not 'three fourths'. The visual shows 8 sections, so use eighths in your answer.

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