Convert Semicircle Diagram to Fraction: Visual Math Practice

Fraction Representation with Semicircle Diagrams

Write the fraction shown in the diagram as a number:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from diagram to simple fraction
00:04 It appears the whole is divided into 2 parts
00:07 Therefore we'll put 2 in the denominator
00:10 Out of the 2 parts, only 1 is colored
00:13 Therefore we'll put 1 in the numerator
00:16 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 diagram as a number:

2

Step-by-step solution

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 2 parts and 1 part is coloured.

If we rewrite this as a fraction, we obtain the following:

12 \frac{1}{2}

3

Final Answer

12 \frac{1}{2}

Key Points to Remember

Essential concepts to master this topic
  • Visual Rule: Denominator equals total parts, numerator equals shaded parts
  • Technique: Count 2 total sections, 1 shaded gives 12 \frac{1}{2}
  • Check: Verify shaded part is exactly half of total circle ✓

Common Mistakes

Avoid these frequent errors
  • Confusing numerator and denominator positions
    Don't write shaded parts as denominator = 21 \frac{2}{1} instead of 12 \frac{1}{2} ! This reverses the fraction meaning completely. Always write number of shaded parts over total number of parts.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the diagram as a number:

FAQ

Everything you need to know about this question

How do I know which number goes on top?

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The numerator (top number) always represents the shaded or colored parts. Count these first - in this semicircle, only 1 part is shaded.

What if the diagram shows more than half shaded?

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The same rule applies! Count total parts for denominator and shaded parts for numerator. You might get fractions like 34 \frac{3}{4} or 56 \frac{5}{6} .

Why is this semicircle divided into 2 parts?

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The vertical line divides the semicircle into 2 equal halves. One half is shaded (red), one half is unshaded (white), giving us 2 total parts.

Can a fraction be greater than 1?

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Yes! If more parts are shaded than unshaded, you get improper fractions like 32 \frac{3}{2} . But in this problem, only half is shaded, so we get 12 \frac{1}{2} .

How do I double-check my fraction is correct?

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Visual check: Does your fraction make sense? 12 \frac{1}{2} means half is shaded - look at the diagram and confirm exactly half the circle is red!

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