Convert the Fraction 24/100 into a Percentage: A Quick Guide

Q: Why don't I need to do any calculations for this fraction?

When the denominator is 100, you're already working with hundredths! Since percent means "out of 100," the numerator 24 directly tells you it's 24%.

Q: What if the fraction had a different denominator like 25?

Then you'd need to convert first! For example, $ \frac{6}{25} $ = $ \frac{24}{100} $ = 24%. But when it's already out of 100, no conversion needed!

Q: Is 24% the same as 0.24?

Yes! 24% = 0.24 as a decimal = $ \frac{24}{100} $ as a fraction. These are three ways to write the same value.

Q: How do I remember this shortcut?

Think: "Per-cent means per-hundred." So $ \frac{24}{100} $ literally means "24 per hundred" which is exactly what 24% represents!

Q: What if I accidentally wrote 2.4% instead?

That's a common mistake! Remember: 2.4% would equal $ \frac{2.4}{100} $ or $ \frac{24}{1000} $, which is much smaller than $ \frac{24}{100} $.

Fraction-to-Percentage Conversion with Denominators of 100

Convert the fraction into a percentage:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's learn how to convert fractions into percentages.

00:10 When a fraction has a denominator of one hundred, the numerator is its percentage. So, if the fraction is X over one hundred, it's X percent.

00:19 Let's apply this formula to our exercise.

00:23 And that's how we find the solution, turning fractions into percentages!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

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

Step-by-step solution

To solve this problem, we'll use the conversion method to obtain the percentage representation of the fraction:

Step 1: Identify the given fraction $\frac{24}{100}$ .
Step 2: Convert the fraction to a percentage by multiplying it by 100: $\left(\frac{24}{100}\right) \times 100\%$ .
Step 3: Calculate the expression: $\frac{24}{100} \times 100 = 24$ .
Step 4: Append the percentage symbol to the result: $24\%$ .

Thus, the fraction $\frac{24}{100}$ is equivalent to 24%.

Final Answer

24%

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 100 convert directly to percentages
Technique: For $\frac{24}{100}$ , the numerator 24 becomes 24%
Check: Verify 24% = 0.24 = $\frac{24}{100}$ ✓

Common Mistakes

Avoid these frequent errors

Dividing the numerator by 100 instead of using it directly
Don't divide 24 ÷ 100 = 0.24%! This gives a percentage that's 100 times too small. When the denominator is already 100, the numerator directly becomes the percentage number. Always use 24 as 24% when converting $\frac{24}{100}$ .

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why don't I need to do any calculations for this fraction?

When the denominator is 100, you're already working with hundredths! Since percent means "out of 100," the numerator 24 directly tells you it's 24%.

What if the fraction had a different denominator like 25?

Then you'd need to convert first! For example, $\frac{6}{25}$ = $\frac{24}{100}$ = 24%. But when it's already out of 100, no conversion needed!

Is 24% the same as 0.24?

Yes! 24% = 0.24 as a decimal = $\frac{24}{100}$ as a fraction. These are three ways to write the same value.

How do I remember this shortcut?

Think: "Per-cent means per-hundred." So $\frac{24}{100}$ literally means "24 per hundred" which is exactly what 24% represents!

What if I accidentally wrote 2.4% instead?

That's a common mistake! Remember: 2.4% would equal $\frac{2.4}{100}$ or $\frac{24}{1000}$ , which is much smaller than $\frac{24}{100}$ .

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