Convert Fraction 5/10 to Percentage: Step-by-Step Solution

Q: Why do I multiply by 100 to get a percentage?

Percent means "per hundred", so converting to percentage shows how many parts out of 100. Multiplying by 100 transforms the fraction into this "out of 100" form!

Q: Can I simplify the fraction first before converting?

Yes! You can simplify $ \frac{5}{10} $ to $ \frac{1}{2} $ first, then convert: $ \frac{1}{2} \times 100 = 50\% $. Both methods give the same answer.

Q: Is 50% the same as 0.5?

Yes! 50% = 0.5 = $ \frac{1}{2} $. These are three different ways to write the same value - as a percentage, decimal, and fraction.

Q: How do I remember which operation converts fractions to percentages?

Think: "Percentage = Per 100". To show something "per 100," multiply your fraction by 100. It's like asking "How much would this be if the denominator was 100?"

Fraction to Percentage with Decimal Equivalents

Convert the fraction $\frac{5}{10}$ to a percentage:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's learn how to convert fractions into percentages.

00:09 First, we need the denominator to be 100.

00:14 The percentage is simply the top number, or numerator.

00:19 Now, let's use this method on an example.

00:24 Multiply both the top and bottom numbers by 10 so the bottom number is 100.

00:31 Great, now let's calculate!

00:44 And there you go, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{5}{10}$ to a percentage:

Step-by-step solution

To solve the problem of converting the fraction $\frac{5}{10}$ to a percentage, follow these steps:

Step 1: Start with the fraction $\frac{5}{10}$ .
Step 2: Multiply the fraction by 100 to convert it to a percentage:

$\frac{5}{10} \times 100 = 50$ .

Step 3: The result is already simplified and represents the fraction in percentage form.

Therefore, the fraction $\frac{5}{10}$ is equivalent to 50%.

Comparing with the given choices, the correct answer is option 1, which is 50%.

Final Answer

50%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: Calculate $\frac{5}{10} \times 100 = 50$ then add % symbol
Check: Verify 50% = 0.5 and $\frac{5}{10} = 0.5$ match ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just simplify $\frac{5}{10}$ to $\frac{1}{2}$ and call it done = still a fraction, not a percentage! This misses the conversion step entirely. Always multiply by 100 to get the percentage value.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percent means "per hundred", so converting to percentage shows how many parts out of 100. Multiplying by 100 transforms the fraction into this "out of 100" form!

Can I simplify the fraction first before converting?

Yes! You can simplify $\frac{5}{10}$ to $\frac{1}{2}$ first, then convert: $\frac{1}{2} \times 100 = 50\%$ . Both methods give the same answer.

What if I get a decimal when I multiply by 100?

That's normal! Some fractions convert to decimal percentages like 33.33% or 66.67%. Just round appropriately based on what the problem asks for.

Is 50% the same as 0.5?

Yes! 50% = 0.5 = $\frac{1}{2}$ . These are three different ways to write the same value - as a percentage, decimal, and fraction.

How do I remember which operation converts fractions to percentages?

Think: "Percentage = Per 100". To show something "per 100," multiply your fraction by 100. It's like asking "How much would this be if the denominator was 100?"

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime