Convert a Semicircle Drawing to Its Fraction Representation

Visual Fractions with Semicircle Representation

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
00:03 Count the division cells of the whole (denominator)
00:10 Count the number of colored parts (numerator)
00:14 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:

2

Step-by-step solution

To solve this problem, we need to understand the fraction represented by the shaded area in the given drawing.

The circle in the drawing is divided into four equal parts. Out of these, three parts are shaded. To express this scenario as a fraction, we count the parts:

  • Total Parts: The circle is divided into 4 equal segments, so the denominator of the fraction is 4.
  • Shaded Parts: There are 3 shaded segments, so the numerator of the fraction is 3.

The fraction that represents the shaded area is therefore given by:

34 \frac{3}{4}

Thus, the solution to this problem is 34\frac{3}{4}. This matches choice number 4 from the given options.

Therefore, the fraction represented by the shaded area is 34\frac{3}{4}.

3

Final Answer

34 \frac{3}{4}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Count shaded parts over total parts to form fraction
  • Technique: Circle has 4 equal parts, 3 are shaded = 34 \frac{3}{4}
  • Check: Verify 3 shaded + 1 unshaded = 4 total parts ✓

Common Mistakes

Avoid these frequent errors
  • Confusing semicircle with half
    Don't assume semicircle drawing means the fraction is 12 \frac{1}{2} = wrong answer! The drawing shows a full circle divided into parts. Always count the actual shaded sections versus total sections in the diagram.

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

Why isn't the answer 1/2 since it looks like a semicircle?

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Great observation! While part of the circle is shaded, you need to count the actual divisions. The circle is split into 4 equal parts, and 3 of them are shaded, making it 34 \frac{3}{4} .

How do I know how many parts the circle is divided into?

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Look carefully at the dividing lines in the drawing. Count how many separate sections they create - that's your denominator. Each section should be equal in size.

What if I can't see the divisions clearly?

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Focus on the line patterns and color changes. The drawing shows clear boundaries between shaded and unshaded areas. Count each distinct region as one part.

Do I need to simplify the fraction?

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Always check if your fraction can be simplified! In this case, 34 \frac{3}{4} is already in lowest terms since 3 and 4 share no common factors besides 1.

How can I double-check my visual counting?

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Add your parts: Shaded parts + Unshaded parts should equal your total. Here: 3 shaded + 1 unshaded = 4 total parts ✓

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