Converting Circle Sectors: Write the Shaded Fraction in Words

Fraction Recognition with Circle 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
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Understand the problem

Write the fraction shown in the picture, in words:

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Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Analyze the given visual representation.
  • Step 2: Identify the fraction and convert it into words.

Initially, we examine the circle in the provided graphic, which is divided into three equal parts. Two of these parts are shaded.

Step 1: Count the sections. There are three sections in total, which means the denominator of the fraction is 3. Two of these sections are shaded, so the numerator is 2.

Step 2: Translate the numeric fraction 23\frac{2}{3} into words.
The word representation of 23\frac{2}{3} is "two thirds."

Thus, the answer to this problem is two thirds.

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Final Answer

Two thirds

Key Points to Remember

Essential concepts to master this topic
  • Rule: Count shaded parts for numerator, total parts for denominator
  • Technique: Two shaded out of three total gives 23 \frac{2}{3}
  • Check: Verify by confirming 2 shaded + 1 unshaded = 3 total ✓

Common Mistakes

Avoid these frequent errors
  • Confusing shaded and unshaded parts
    Don't count unshaded parts for the numerator = wrong fraction! This reverses the meaning and gives the complement fraction instead. Always count only the 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 parts to count for the numerator?

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Always count the shaded or highlighted parts for the numerator (top number). The denominator (bottom number) is the total number of equal parts in the whole circle.

What if the circle isn't divided into equal parts?

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For fractions to work correctly, the circle must be divided into equal parts. If parts are different sizes, you can't write it as a simple fraction like 23 \frac{2}{3} .

How do I write fractions in words?

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For 23 \frac{2}{3} , say "two thirds". The pattern is: [numerator number] + [denominator as ordinal]. Examples: 14 \frac{1}{4} = "one fourth", 35 \frac{3}{5} = "three fifths".

Why does two thirds look bigger than one third in the picture?

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Because it is bigger! 23 \frac{2}{3} means 2 out of 3 parts, while 13 \frac{1}{3} means only 1 out of 3 parts. The shaded area shows this visually.

What if I counted three parts but only one is unshaded?

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Then you'd have 13 \frac{1}{3} unshaded, but the question asks for the shaded fraction. Count the shaded parts: 2 shaded out of 3 total = 23 \frac{2}{3} .

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