Convert 3/25 to a Percentage: Fraction to Value Conversion

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

A percentage means "per hundred." When you divide $ \frac{3}{25} $, you get 0.12, which represents 12 parts out of 100. Multiplying by 100 shows this as 12%.

Q: What if I get a long decimal when I divide?

That's normal! For example, $ \frac{1}{3} = 0.333... $ becomes 33.33% (rounded). Just multiply the decimal by 100 and round if needed.

Q: How do I know if 12% is reasonable for 3/25?

Think about it: $ \frac{3}{25} $ is a little more than $ \frac{2}{25} = \frac{8}{100} = 8\% $ but less than $ \frac{5}{25} = \frac{20}{100} = 20\% $. So 12% makes perfect sense!

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

Yes! Since 25 × 4 = 100, just multiply the numerator by 4 to get the percentage directly: $ \frac{3}{25} = \frac{3 \times 4}{25 \times 4} = \frac{12}{100} = 12\% $.

Fraction to Percentage with Direct Division

Convert the fraction into a percentage:

$\frac{3}{25}=\text{?}$

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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.

00:11 If a fraction has a denominator of one hundred, the numerator is the percentage.

00:19 Figure out how much to multiply the denominator by, to change it to one hundred.

00:29 Multiply both the numerator and denominator by four, to get a denominator of one hundred.

00:42 Now, use this method in our example.

00:47 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{3}{25}=\text{?}$

Step-by-step solution

To convert the fraction $\frac{3}{25}$ into a percentage, we will perform the following steps:

Step 1: Recognize that the given fraction is $\frac{3}{25}$ .
Step 2: Use the formula for conversion: $\text{Percentage} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100\%$ .
Step 3: Calculate $\frac{3}{25}$ :
$\frac{3}{25} = 0.12$ .
Step 4: Multiply the decimal by 100 to convert it to a percentage:
$0.12 \times 100 = 12\%$ .

Thus, the solution to the problem is $\boxed{12\%}$ .

Final Answer

12%

Key Points to Remember

Essential concepts to master this topic

Formula: Divide numerator by denominator, then multiply by 100
Technique: $\frac{3}{25} = 3 \div 25 = 0.12$ , then multiply by 100
Check: Verify 12% equals the original fraction: $12\% = \frac{12}{100} = \frac{3}{25}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after division
Don't stop at the decimal form 0.12 and call it your final answer! This gives you the decimal equivalent, not the percentage. Always multiply by 100 to convert from decimal to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{7}{100}$ into a percentage.

FAQ

Everything you need to know about this question

Why do I need to multiply by 100 to get a percentage?

A percentage means "per hundred." When you divide $\frac{3}{25}$ , you get 0.12, which represents 12 parts out of 100. Multiplying by 100 shows this as 12%.

Can I convert the fraction to have 100 in the denominator instead?

Absolutely! You can multiply both numerator and denominator by 4: $\frac{3}{25} \times \frac{4}{4} = \frac{12}{100} = 12\%$ . This works when the denominator divides evenly into 100.

What if I get a long decimal when I divide?

That's normal! For example, $\frac{1}{3} = 0.333...$ becomes 33.33% (rounded). Just multiply the decimal by 100 and round if needed.

How do I know if 12% is reasonable for 3/25?

Think about it: $\frac{3}{25}$ is a little more than $\frac{2}{25} = \frac{8}{100} = 8\%$ but less than $\frac{5}{25} = \frac{20}{100} = 20\%$ . So 12% makes perfect sense!

Is there a shortcut for fractions with 25 in the denominator?

Yes! Since 25 × 4 = 100, just multiply the numerator by 4 to get the percentage directly: $\frac{3}{25} = \frac{3 \times 4}{25 \times 4} = \frac{12}{100} = 12\%$ .

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