Visual Representation of the Fraction 5/10: Choose the Correct Diagram

Q: Why should I simplify the fraction before looking at the diagrams?

Simplifying reveals the true meaning of the fraction! $ \frac{5}{10} = \frac{1}{2} $ means 'half,' so you can quickly spot diagrams showing exactly half shaded instead of counting tiny sections.

Q: How do I know which circle diagram shows half?

Look for a circle where exactly half the area is shaded. This could be a semicircle, or any shape that covers 50% of the circle's area - not necessarily 5 out of 10 sections!

Q: Can different-looking diagrams represent the same fraction?

Absolutely! $ \frac{1}{2} $, $ \frac{5}{10} $, and $ \frac{50}{100} $ all show the same amount. A semicircle and 5 shaded sections out of 10 both represent half.

Q: What if the diagram has 10 sections but only some are shaded?

Count the shaded sections! If 5 out of 10 sections are shaded, that's $ \frac{5}{10} $. But remember, this equals $ \frac{1}{2} $, so a simple half-circle works too.

Q: How do I avoid getting confused by complex diagrams?

Always simplify first! Once you know $ \frac{5}{10} = \frac{1}{2} $, look for the clearest representation of half, which is usually a semicircle or obvious 50-50 split.

Fraction Visualization with Circle Diagrams

Choose the option that visually represents the following fraction:

$\frac{5}{10}$

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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

00:04 In black, we see the number of parts into which the whole is divided

00:07 And in red is colored the given part, meaning the numerator

00:11 For each option, we'll find the mathematical representation and choose the appropriate one

00:44 Let's reduce the given fraction

00:51 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:

$\frac{5}{10}$

Step-by-step solution

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

Step 1: Simplify the given fraction $\frac{5}{10}$ to check for equivalencies.
Step 2: Understand that $\frac{5}{10} = \frac{1}{2}$ .
Step 3: Analyze each visual option to identify a representation of one-half.

Now, let's work through each step:
Step 1: The given fraction is $\frac{5}{10}$ . To simplify, divide both numerator and denominator by 5, resulting in $\frac{1}{2}$ .
Step 2: Knowing $\frac{1}{2}$ refers to half a whole, look for the option where half of a circle is shaded.
Step 3: Consider the options given. Among the options, we identify the representation of half a circle being shaded, showing $\frac{1}{2}$ .

Therefore, the solution to the problem corresponds with option 1, which represents the fraction $\frac{1}{2}$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Simplification: Reduce $\frac{5}{10}$ by dividing both parts by 5
Recognition: $\frac{5}{10} = \frac{1}{2}$ means exactly half of the whole
Visual Check: Count shaded parts = 5 out of 10 total sections ✓

Common Mistakes

Avoid these frequent errors

Counting sections instead of recognizing equivalent fractions
Don't just look for 5 shaded parts out of 10 total = you miss simpler equivalent forms! This makes you choose complex diagrams over clear half-circles. Always simplify the fraction first to see $\frac{5}{10} = \frac{1}{2}$ , then find the diagram showing exactly half.

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 should I simplify the fraction before looking at the diagrams?

Simplifying reveals the true meaning of the fraction! $\frac{5}{10} = \frac{1}{2}$ means 'half,' so you can quickly spot diagrams showing exactly half shaded instead of counting tiny sections.

How do I know which circle diagram shows half?

Look for a circle where exactly half the area is shaded. This could be a semicircle, or any shape that covers 50% of the circle's area - not necessarily 5 out of 10 sections!

Can different-looking diagrams represent the same fraction?

Absolutely! $\frac{1}{2}$ , $\frac{5}{10}$ , and $\frac{50}{100}$ all show the same amount. A semicircle and 5 shaded sections out of 10 both represent half.

What if the diagram has 10 sections but only some are shaded?

Count the shaded sections! If 5 out of 10 sections are shaded, that's $\frac{5}{10}$ . But remember, this equals $\frac{1}{2}$ , so a simple half-circle works too.

How do I avoid getting confused by complex diagrams?

Always simplify first! Once you know $\frac{5}{10} = \frac{1}{2}$ , look for the clearest representation of half, which is usually a semicircle or obvious 50-50 split.

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