Visual Representation of the Fraction 3/4: Choose the Correct Diagram

Q: How do I know which parts should be shaded?

For $ \frac{3}{4} $, you need exactly 3 out of 4 equal parts to be shaded. It doesn't matter which specific parts are filled, just that there are 3 filled and 1 empty.

Q: What if the circle isn't divided into exactly 4 parts?

Then it cannot represent $ \frac{3}{4} $! The denominator tells us there must be exactly 4 equal sections. Look for diagrams with 4 equal divisions.

Q: Can I have more than 3 parts shaded?

No! If more than 3 parts are shaded, you'd have a fraction greater than $ \frac{3}{4} $. For $ \frac{3}{4} $, exactly 3 parts must be filled.

Q: What does each section represent?

Each equal section represents $ \frac{1}{4} $ of the whole circle. When 3 sections are filled, you have $ \frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{3}{4} $!

Visual Fraction Representation with Circle Models

Choose the option that visually represents the following fraction:

$\frac{3}{4}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Choose the correct visual representation for the given fraction

00:03 In black, we see the number of parts into which the whole is divided

00:06 And in red is colored the given part, meaning the numerator

00:09 For each option, we'll find the mathematical representation and choose the appropriate one

00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the option that visually represents the following fraction:

$\frac{3}{4}$

Step-by-step solution

To solve this problem, we focus on visually representing the fraction $\frac{3}{4}$ . This requires selecting the option where three out of four equal parts are highlighted or filled, representing the fraction correctly.

Step 1: Understand the fraction $\frac{3}{4}$ means we need three parts filled out of a total of four parts.

Step 2: Review each visual choice to see which diagram correctly highlights 3 out of 4 sections:

Choice 1: Highlights the right semicircle which does not represent $\frac{3}{4}$ .
Choice 2: Highlights a quarter of the circle which represents $\frac{1}{4}$ .
Choice 3: Highlights half, representing $\frac{1}{2}$ .
Choice 4: Highlights three quadrants, which correctly depicts $\frac{3}{4}$ .

Therefore, the correct visual representation of $\frac{3}{4}$ forms part of choice 4, where exactly three out of four sections are filled.

Thus, the option that visually represents the fraction $\frac{3}{4}$ is Choice 4.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Denominator shows total parts, numerator shows filled parts
Technique: Count sections: 3 out of 4 parts must be shaded
Check: Verify 3 shaded sections in 4 total equal parts ✓

Common Mistakes

Avoid these frequent errors

Confusing numerator and denominator positions
Don't look for 4 out of 3 parts or miscount the divisions! This reverses the fraction meaning and leads to wrong visual identification. Always remember: denominator (bottom) = total parts, numerator (top) = filled parts.

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 parts should be shaded?

For $\frac{3}{4}$ , you need exactly 3 out of 4 equal parts to be shaded. It doesn't matter which specific parts are filled, just that there are 3 filled and 1 empty.

What if the circle isn't divided into exactly 4 parts?

Then it cannot represent $\frac{3}{4}$ ! The denominator tells us there must be exactly 4 equal sections. Look for diagrams with 4 equal divisions.

Can I have more than 3 parts shaded?

No! If more than 3 parts are shaded, you'd have a fraction greater than $\frac{3}{4}$ . For $\frac{3}{4}$ , exactly 3 parts must be filled.

Why are some diagrams divided differently?

Different diagrams test your understanding! Some might be divided into 2 parts (halves), others into 4 parts (quarters). Only the 4-part division with 3 sections filled represents $\frac{3}{4}$ .

What does each section represent?

Each equal section represents $\frac{1}{4}$ of the whole circle. When 3 sections are filled, you have $\frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{3}{4}$ !

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