Convert the Fraction 25/40 to a Percentage: Simple Math Task

Q: Do I have to simplify the fraction first?

No, but it makes the math easier! You can work with $ \frac{25}{40} $ directly, but simplifying to $ \frac{5}{8} $ gives you smaller, friendlier numbers to work with.

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

Because percent means 'out of 100'! When you multiply a fraction by 100, you're finding how many parts out of 100 it represents. So $ \frac{5}{8} \times 100 $ = 62.5 parts out of 100 = 62.5%.

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

That's totally normal! Many fractions convert to decimal percentages like 62.5% or 33.33%. Just include the decimal point in your final percentage.

Q: Can I use a calculator for the division?

Absolutely! Calculators are great for division like $ 500 ÷ 8 = 62.5 $. Just make sure you understand the process: fraction → multiply by 100 → divide to get your percentage.

Q: How do I know if 62.5% is reasonable?

Use common sense! $ \frac{25}{40} $ is a bit more than half (since 25 > 20, and $ \frac{20}{40} = 50\% $). So 62.5% makes perfect sense!

Fraction to Percentage with Simplification

Convert the fraction into a percentage:

$\frac{25}{40}=\text{?}$

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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's bottom number is one hundred, the top number is the percentage.

00:19 Figure out what to multiply the bottom number by, so it becomes one hundred.

00:31 Multiply both numbers in the fraction by two point five to get one hundred on the bottom.

00:47 Now, let's try using this method in our example.

00:54 Great job! That's how you 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:

$\frac{25}{40}=\text{?}$

Step-by-step solution

To solve this problem, let's convert the fraction $\frac{25}{40}$ into a percentage, using the following steps:

Simplify the fraction $\frac{25}{40}$ . The greatest common divisor of 25 and 40 is 5, so dividing both by 5 gives us: $\frac{25 \div 5}{40 \div 5} = \frac{5}{8}$ .
Use the conversion formula: $\frac{5}{8} \times 100 = \frac{500}{8}$ .
Perform the division: $\frac{500}{8} = 62.5$ .

Therefore, the fraction $\frac{25}{40}$ is equivalent to 62.5%.

The correct answer is choice : 62.5%, aligning with the given correct answer.

Final Answer

62.5%

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: Multiply any fraction by 100 to get percentage
Technique: Simplify first: $\frac{25}{40} = \frac{5}{8} \times 100 = 62.5\%$
Check: Verify by converting back: 62.5% ÷ 100 = 0.625 = $\frac{25}{40}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 25 ÷ 40 = 0.625 and stop there! This gives you the decimal form, not the percentage. The decimal 0.625 ≠ 62.5%. Always multiply your decimal result by 100 to convert to percentage form.

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

Do I have to simplify the fraction first?

No, but it makes the math easier! You can work with $\frac{25}{40}$ directly, but simplifying to $\frac{5}{8}$ gives you smaller, friendlier numbers to work with.

Why do we multiply by 100 to get a percentage?

Because percent means 'out of 100'! When you multiply a fraction by 100, you're finding how many parts out of 100 it represents. So $\frac{5}{8} \times 100$ = 62.5 parts out of 100 = 62.5%.

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

That's totally normal! Many fractions convert to decimal percentages like 62.5% or 33.33%. Just include the decimal point in your final percentage.

Can I use a calculator for the division?

Absolutely! Calculators are great for division like $500 ÷ 8 = 62.5$ . Just make sure you understand the process: fraction → multiply by 100 → divide to get your percentage.

How do I know if 62.5% is reasonable?

Use common sense! $\frac{25}{40}$ is a bit more than half (since 25 > 20, and $\frac{20}{40} = 50\%$ ). So 62.5% makes perfect sense!

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