Convert 24/25 to Percentage: Exact Fraction Conversion Problem

Q: Why do I multiply by 100 when converting to percentage?

Percentage means "per hundred" - so you're showing how many parts out of 100. Multiplying by 100 converts the decimal to this "out of 100" format.

Q: What if the fraction doesn't convert to a nice percentage?

Some fractions give repeating decimals like $ \frac{1}{3} = 33.\overline{3}\% $. Round to a reasonable number of decimal places or express as a mixed number percentage.

Q: How can I check if 96% is correct?

Work backwards: 96% of 25 should equal 24. Calculate: $ 0.96 \times 25 = 24 $ ✓ It works!

Q: Is there a shortcut for fractions with denominator 25?

Yes! Since $ 25 \times 4 = 100 $, just multiply the numerator by 4: $ \frac{24}{25} = \frac{24 \times 4}{100} = \frac{96}{100} = 96\% $

Fraction to Percentage with Exact Conversions

Calculate 24 out of 25 as 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

00:00 Calculate 24 as a percentage of 25

00:04 Apply the formula to calculate percentages

00:09 Divide the first number by the second number and proceed to multiply by 100

00:20 Break down into factors and reduce wherever possible

00:29 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 24 out of 25 as a percentage:

Step-by-step solution

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

Step 1: Identify the given values
Step 2: Use the percentage formula
Step 3: Calculate the result

Now, let's work through each step:
Step 1: The problem gives us that we have 24 out of a total of 25.
Step 2: We'll use the formula for converting a fraction to a percentage: $\frac{\text{part}}{\text{whole}} \times 100\%$ . In this case, the part is 24 and the whole is 25.
Step 3: Plugging in our values, we get $\frac{24}{25} \times 100\% = 0.96 \times 100\% = 96\%$ .

The fraction 24 out of 25 equals 96% when expressed as a percentage, which corresponds to choice 1.

Final Answer

96%

Key Points to Remember

Essential concepts to master this topic

Formula: Convert fraction to percentage using $\frac{\text{part}}{\text{whole}} \times 100\%$
Calculation: $\frac{24}{25} = 0.96 \times 100\% = 96\%$
Check: Verify 96% of 25 equals 24: $0.96 \times 25 = 24$ ✓

Common Mistakes

Avoid these frequent errors

Adding 100 instead of multiplying by 100
Don't add 100 to the decimal: 0.96 + 100 = 100.96%! This gives impossible percentages over 100%. Always multiply the decimal by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I multiply by 100 when converting to percentage?

Percentage means "per hundred" - so you're showing how many parts out of 100. Multiplying by 100 converts the decimal to this "out of 100" format.

Can I convert 24/25 without using decimals?

Yes! You can multiply both numerator and denominator to get a fraction with denominator 100: $\frac{24}{25} \times \frac{4}{4} = \frac{96}{100} = 96\%$

What if the fraction doesn't convert to a nice percentage?

Some fractions give repeating decimals like $\frac{1}{3} = 33.\overline{3}\%$ . Round to a reasonable number of decimal places or express as a mixed number percentage.

How can I check if 96% is correct?

Work backwards: 96% of 25 should equal 24. Calculate: $0.96 \times 25 = 24$ ✓ It works!

Is there a shortcut for fractions with denominator 25?

Yes! Since $25 \times 4 = 100$ , just multiply the numerator by 4: $\frac{24}{25} = \frac{24 \times 4}{100} = \frac{96}{100} = 96\%$

🌟 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