Convert Fraction to Percentage: Solving 7/25 Step-by-Step

Q: Why do I multiply by 100 instead of just dividing?

Percentage means 'per hundred', so you need to convert your fraction to have a denominator of 100. Multiplying the numerator by 100 does exactly that!

Q: Can I convert to decimal first then to percentage?

Yes! $ \frac{7}{25} = 0.28 $, then multiply by 100 to get 28%. Both methods work, but the direct method is often faster.

Q: What if the denominator doesn't divide evenly into 100?

No problem! The formula always works. Just multiply numerator by 100 and divide by denominator, even if you get a decimal percentage like 33.33%.

Q: How can I check if 28% is really equal to 7/25?

Convert 28% back to a fraction: $ \frac{28}{100} $. Simplify by dividing both by 4: $ \frac{7}{25} $ ✓

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

Yes! Since 25 × 4 = 100, just multiply the numerator by 4. For $ \frac{7}{25} $: 7 × 4 = 28%

Fraction Conversion with Decimal Equivalents

Write the fraction $\frac{7}{25}$ as a percentage

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's convert fractions to percentages.

00:09 First, multiply the fraction by 100 to turn it into a percentage.

00:23 Think of 100 as 25 times 4. This will help us simplify.

00:33 Then, simplify the fraction as much as you can.

00:39 And that's how you find the percentage!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{7}{25}$ as a percentage

Step-by-step solution

To convert the fraction $\frac{7}{25}$ into a percentage, follow these steps:

Step 1: Multiply the numerator by 100 to convert from fraction to percentage terms. Therefore, calculate $7 \times 100 = 700$ .
Step 2: Divide the result by the denominator of the fraction. Thus, divide $700$ by $25$ : $\frac{700}{25}$ .
Step 3: Perform the division to find the percentage: $\frac{700}{25} = 28$ .

Thus, $\frac{7}{25}$ as a percentage is 28%.

Therefore, the correct answer is $28\%$ .

Final Answer

28%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply numerator by 100, then divide by denominator
Calculation: $7 \times 100 = 700$ , then $700 ÷ 25 = 28$
Verification: Check that $\frac{28}{100} = \frac{7}{25}$ by cross-multiplication ✓

Common Mistakes

Avoid these frequent errors

Dividing numerator by denominator first
Don't divide 7 ÷ 25 = 0.28 and forget the percentage conversion = wrong answer like 0.28%! This gives a decimal, not a percentage. Always multiply the numerator by 100 first, then divide by the denominator.

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 do I multiply by 100 instead of just dividing?

Percentage means 'per hundred', so you need to convert your fraction to have a denominator of 100. Multiplying the numerator by 100 does exactly that!

Can I convert to decimal first then to percentage?

Yes! $\frac{7}{25} = 0.28$ , then multiply by 100 to get 28%. Both methods work, but the direct method is often faster.

What if the denominator doesn't divide evenly into 100?

No problem! The formula always works. Just multiply numerator by 100 and divide by denominator, even if you get a decimal percentage like 33.33%.

How can I check if 28% is really equal to 7/25?

Convert 28% back to a fraction: $\frac{28}{100}$ . Simplify by dividing both by 4: $\frac{7}{25}$ ✓

Is there a shortcut for fractions with denominator 25?

Yes! Since 25 × 4 = 100, just multiply the numerator by 4. For $\frac{7}{25}$ : 7 × 4 = 28%

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