Converting the Fraction 13.3/100 to Percentage Form

Q: Why don't I multiply by 100 like other fraction to percentage problems?

Great observation! When the denominator is already 100, the fraction is already in "per hundred" form. You just read the numerator as the percentage: $ \frac{13.3}{100} = 13.3\% $.

Q: What if the numerator has a decimal like 13.3?

Decimals in the numerator are perfectly fine! The percentage will also have that decimal: $ \frac{13.3}{100} = 13.3\% $. The decimal moves directly to the percentage.

Q: How is this different from converting other fractions to percentages?

With fractions like $ \frac{3}{4} $, you multiply by 100 to get 75%. But when the denominator is already 100, no multiplication needed - just use the numerator!

Q: Can I write 13.3% as a simpler fraction?

Yes! $ \frac{13.3}{100} $ can be written as $ \frac{133}{1000} $ by removing the decimal. Both represent the same value as 13.3%.

Q: What does the % symbol actually mean?

The % symbol means "per hundred" or "out of 100". So 13.3% literally means 13.3 out of every 100, which is exactly what $ \frac{13.3}{100} $ shows!

Percentage Conversion with Decimal Fractions

Convert the fraction $\frac{13.3}{100}$ into a percentage.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's learn how to convert fractions into percentages.

00:10 To change a fraction to a percentage, we need the bottom number to be one hundred.

00:18 The percentage is the top number, or the numerator.

00:22 Let's use this formula in our example.

00:28 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{13.3}{100}$ into a percentage.

Step-by-step solution

We use the formula:

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

Therefore:

$\frac{13.3}{100}=13.3\%$

Final Answer

13.3%

Key Points to Remember

Essential concepts to master this topic

Formula: Any fraction with denominator 100 equals the numerator as percent
Technique: $\frac{13.3}{100} = 13.3\%$ by direct conversion
Check: Convert back: 13.3% = 13.3/100 confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Multiplying the numerator by 100 instead of direct conversion
Don't multiply 13.3 × 100 to get 1330%! This treats the fraction as needing conversion when it already has denominator 100. Always recognize that fractions with denominator 100 convert directly to percentages.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why don't I multiply by 100 like other fraction to percentage problems?

Great observation! When the denominator is already 100, the fraction is already in "per hundred" form. You just read the numerator as the percentage: $\frac{13.3}{100} = 13.3\%$ .

What if the numerator has a decimal like 13.3?

Decimals in the numerator are perfectly fine! The percentage will also have that decimal: $\frac{13.3}{100} = 13.3\%$ . The decimal moves directly to the percentage.

How is this different from converting other fractions to percentages?

With fractions like $\frac{3}{4}$ , you multiply by 100 to get 75%. But when the denominator is already 100, no multiplication needed - just use the numerator!

Can I write 13.3% as a simpler fraction?

Yes! $\frac{13.3}{100}$ can be written as $\frac{133}{1000}$ by removing the decimal. Both represent the same value as 13.3%.

What does the % symbol actually mean?

The % symbol means "per hundred" or "out of 100". So 13.3% literally means 13.3 out of every 100, which is exactly what $\frac{13.3}{100}$ shows!

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