Convert 54% to a Fraction: Finding the Equivalent /100 Form

Q: Why is the denominator always 100 for percentages?

The word percent literally means 'per hundred'! So 54% means 54 out of 100, which is exactly $ \frac{54}{100} $.

Q: What if the percentage has decimals like 54.5%?

Same rule applies! 54.5% becomes $ \frac{54.5}{100} $. You can write decimals in the numerator when needed.

Q: Is there ever a time when percentage doesn't equal number over 100?

Never! By definition, any percentage can always be written as that number over 100. This is the fundamental rule of percentages.

Percentage Conversion with Hundred Denominators

Write the percentage 54% as a fraction with a denominator of 100.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert a percentage into a fraction.

00:10 A percentage is like a fraction. The top number, or numerator, is the percentage value, X. The bottom number, or denominator, is always one hundred.

00:21 Now, let's use this method in our example.

00:26 And here is the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the percentage 54% as a fraction with a denominator of 100.

Step-by-step solution

To solve the problem of converting a percentage to a fraction, follow these steps:

Step 1: Recognize that the percentage given is 54%.
Step 2: Use the conversion principle that any percentage can be written as a fraction with a denominator of 100. Thus, 54% is written as $\frac{54}{100}$ .
Step 3: Check if further simplification is needed. In this case, since we were specifically asked for a denominator of 100, no simplification is required.

Therefore, the percentage 54% as a fraction with a denominator of 100 is $\frac{54}{100}$ .

Final Answer

$\frac{54}{100}$

Key Points to Remember

Essential concepts to master this topic

Rule: Any percentage equals that number over 100
Technique: 54% becomes $\frac{54}{100}$ directly
Check: Convert back: $\frac{54}{100}$ = 54% ✓

Common Mistakes

Avoid these frequent errors

Adding extra steps or changing the denominator
Don't simplify $\frac{54}{100}$ to $\frac{27}{50}$ = wrong denominator! The question specifically asks for denominator 100. Always keep 100 as the denominator when requested.

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 is the denominator always 100 for percentages?

The word percent literally means 'per hundred'! So 54% means 54 out of 100, which is exactly $\frac{54}{100}$ .

Should I simplify the fraction?

Only if the question doesn't specify a denominator! Since this problem asks for denominator 100, keep it as $\frac{54}{100}$ even though it could simplify to $\frac{27}{50}$ .

What if the percentage has decimals like 54.5%?

Same rule applies! 54.5% becomes $\frac{54.5}{100}$ . You can write decimals in the numerator when needed.

How do I convert the fraction back to a percentage?

Easy! Just take the numerator when the denominator is 100. So $\frac{54}{100}$ = 54%.

Is there ever a time when percentage doesn't equal number over 100?

Never! By definition, any percentage can always be written as that number over 100. This is the fundamental rule of percentages.

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