Converting a Red-Shaded Circle Diagram to Fraction Notation

Q: How do I know which number is the numerator?

The numerator (top number) always represents the shaded or selected parts. In this circle, only 1 half is shaded, so 1 goes on top.

Q: What if the circle looks like it's divided differently?

Look carefully at the dividing lines! This circle has one line through the center, creating exactly 2 equal parts. Count the total sections, not the visual appearance.

Q: Why isn't the answer 2/2 since it's a whole circle?

$ \frac{2}{2} $ would mean all parts are shaded, but only half of this circle is red. $ \frac{2}{2} = 1 $ represents a completely shaded circle.

Q: How can I double-check my fraction is correct?

Ask yourself: "Does my fraction make sense?" Since less than the whole circle is shaded, your fraction should be less than 1. $ \frac{1}{2} = 0.5 $ ✓

Q: What does the unshaded part represent?

The unshaded part is also $ \frac{1}{2} $ of the circle! Together, $ \frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1 $ whole circle.

Visual Fraction Representation with Circle Diagrams

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

00:03 Let's turn this picture into a math fraction.

00:07 First, count all the sections, that's your bottom number or denominator.

00:12 Next, count the colored parts, this is your top number or numerator.

00:17 And there you have it, the solution to the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction shown in the drawing:

Step-by-step solution

To solve this problem, we need to determine the fraction represented by the shaded area of a circle.

The diagram shows a circle divided into two equal parts. One of these parts is shaded.

Fractions are expressed as the part over the whole. Here, the shaded section represents one part, while the total sections are two. Therefore, the fraction representing the shaded portion is $\frac{1}{2}$ .

Therefore, the solution to the problem is $\frac{1}{2}$ .

Final Answer

$\frac{1}{2}$

Key Points to Remember

Essential concepts to master this topic

Fraction Structure: Part over whole represents shaded sections over total sections
Circle Reading: Count 1 shaded semicircle out of 2 total semicircles
Verification: Check that numerator + unshaded parts equals denominator: 1 + 1 = 2 ✓

Common Mistakes

Avoid these frequent errors

Confusing which number goes where in the fraction
Don't write the total sections as numerator and shaded parts as denominator = $\frac{2}{1}$ instead of $\frac{1}{2}$ ! This reverses the meaning completely. Always remember: shaded parts go on top (numerator), total parts go on bottom (denominator).

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

How do I know which number is the numerator?

The numerator (top number) always represents the shaded or selected parts. In this circle, only 1 half is shaded, so 1 goes on top.

What if the circle looks like it's divided differently?

Look carefully at the dividing lines! This circle has one line through the center, creating exactly 2 equal parts. Count the total sections, not the visual appearance.

Why isn't the answer 2/2 since it's a whole circle?

$\frac{2}{2}$ would mean all parts are shaded, but only half of this circle is red. $\frac{2}{2} = 1$ represents a completely shaded circle.

How can I double-check my fraction is correct?

Ask yourself: "Does my fraction make sense?" Since less than the whole circle is shaded, your fraction should be less than 1. $\frac{1}{2} = 0.5$ ✓

What does the unshaded part represent?

The unshaded part is also $\frac{1}{2}$ of the circle! Together, $\frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1$ whole circle.

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