Convert Fraction to Percentage: Changing 7/100 to Percent Form

Q: Why don't I need to multiply by 100 here?

When the denominator is already 100, you don't multiply! The fraction $ \frac{7}{100} $ literally means "7 out of 100," which is exactly what 7% means.

Q: What if the fraction had a different denominator like 7/50?

Then you would multiply by 100! For $ \frac{7}{50} $, you'd calculate: $ \frac{7}{50} \times 100 = 14\% $. The rule only works when denominator equals 100.

Q: How do I remember this special rule?

Think of it this way: "Per cent" means "per hundred." So $ \frac{7}{100} $ is literally "7 per hundred" = 7%!

Q: Can I still use the multiply-by-100 method?

Yes, but it's unnecessary extra work! $ \frac{7}{100} \times 100 = 7 $, then add the % symbol. The direct method is faster: $ \frac{7}{100} = 7\% $.

Q: What if I get confused between 7 and 7%?

Remember: 7 is just a number, but 7% means 7 out of 100. The % symbol shows it's a percentage, not just the number 7.

Fraction to Percentage with Denominator 100

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's learn how to convert fractions into percentages.

00:09 First, make sure the denominator is 100 in your fraction.

00:16 Then, the numerator becomes your percentage. Simple, right?

00:26 Now, let's apply this method to our exercise.

00:31 Here's the solution laid out step by step.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

The fraction:

$\frac{x}{100}$ is actually x percent.

Therefore we use the formula:

$\frac{x}{100}=x\%$

$\frac{7}{100}=7\%$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, the numerator equals the percentage
Technique: Apply $\frac{x}{100} = x\%$ formula directly: $\frac{7}{100} = 7\%$
Check: Convert back: 7% = 7 ÷ 100 = $\frac{7}{100}$ ✓

Common Mistakes

Avoid these frequent errors

Converting by multiplying the fraction by 100
Don't multiply $\frac{7}{100} \times 100 = 7$ and call it 7%! This gives you just the number 7, not a percentage. When the denominator is already 100, the numerator IS the percentage: $\frac{7}{100} = 7\%$ .

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 multiply by 100 here?

When the denominator is already 100, you don't multiply! The fraction $\frac{7}{100}$ literally means "7 out of 100," which is exactly what 7% means.

What if the fraction had a different denominator like 7/50?

Then you would multiply by 100! For $\frac{7}{50}$ , you'd calculate: $\frac{7}{50} \times 100 = 14\%$ . The rule only works when denominator equals 100.

How do I remember this special rule?

Think of it this way: "Per cent" means "per hundred." So $\frac{7}{100}$ is literally "7 per hundred" = 7%!

Can I still use the multiply-by-100 method?

Yes, but it's unnecessary extra work! $\frac{7}{100} \times 100 = 7$ , then add the % symbol. The direct method is faster: $\frac{7}{100} = 7\%$ .

What if I get confused between 7 and 7%?

Remember: 7 is just a number, but 7% means 7 out of 100. The % symbol shows it's a percentage, not just the number 7.

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