Convert 89% to a Fraction: Writing with Denominator 100

Q: Why is 89% equal to 89/100 and not 0.89/100?

The percent symbol (%) already means "divided by 100"! So 89% literally translates to 89 out of 100, which gives us $ \frac{89}{100} $ directly.

Q: Do I always use 100 as the denominator when converting percentages?

When the question specifically asks for denominator 100, yes! However, you can simplify fractions later. For example, $ \frac{50}{100} = \frac{1}{2} $ when simplified.

Q: What if the percentage has a decimal, like 89.5%?

You'd write it as $ \frac{89.5}{100} $ first, then multiply both numerator and denominator by 10 to get $ \frac{895}{1000} $ for a cleaner fraction.

Q: How can I check if my fraction is correct?

Convert it back! Divide the numerator by denominator: $ 89 ÷ 100 = 0.89 $, then multiply by 100 to get 89%. If it matches your original percentage, you're right!

Q: Is 89/100 in simplest form?

Check if 89 and 100 share any common factors. Since 89 is prime and doesn't divide 100, $ \frac{89}{100} $ is already in simplest form!

Percentage Conversion with Denominator 100

Write the percentage 89% 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

00:04 Let's turn a percentage into a fraction!

00:09 Remember, the percentage becomes the top number, or numerator, and the bottom number is 100.

00:16 Now, we'll apply this rule to our example. Are you ready? Here we go!

00:30 And there you have it! We've found the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the percentage 89% as a fraction with a denominator of 100.

Step-by-step solution

To solve this problem, we will convert the percentage to a fraction directly:

Step 1: Understand that when expressing a percentage as a fraction, the number is divided by 100. For example, 89% means 89 per 100.
Step 2: Write the fraction using the number 89 as the numerator and 100 as the denominator. The fraction thus becomes $\frac{89}{100}$ .

Therefore, the percentage 89% expressed as a fraction with a denominator of 100 is $\frac{89}{100}$ .

Hence, the correct answer to the problem is $\frac{89}{100}$ .

Final Answer

$\frac{89}{100}$

Key Points to Remember

Essential concepts to master this topic

Rule: Percent means per hundred, so use 100 as denominator
Technique: Place percentage number (89) over 100 to get $\frac{89}{100}$
Check: Convert back: $\frac{89}{100} = 0.89 = 89\%$ ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point incorrectly
Don't write 89% as $\frac{8.9}{100}$ or $\frac{9.8}{100}$ = wrong fraction! The percent symbol already indicates division by 100, so no decimal adjustment is needed. Always use the whole number directly as the numerator.

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 is 89% equal to 89/100 and not 0.89/100?

The percent symbol (%) already means "divided by 100"! So 89% literally translates to 89 out of 100, which gives us $\frac{89}{100}$ directly.

Do I always use 100 as the denominator when converting percentages?

When the question specifically asks for denominator 100, yes! However, you can simplify fractions later. For example, $\frac{50}{100} = \frac{1}{2}$ when simplified.

What if the percentage has a decimal, like 89.5%?

You'd write it as $\frac{89.5}{100}$ first, then multiply both numerator and denominator by 10 to get $\frac{895}{1000}$ for a cleaner fraction.

How can I check if my fraction is correct?

Convert it back! Divide the numerator by denominator: $89 ÷ 100 = 0.89$ , then multiply by 100 to get 89%. If it matches your original percentage, you're right!

Is 89/100 in simplest form?

Check if 89 and 100 share any common factors. Since 89 is prime and doesn't divide 100, $\frac{89}{100}$ is already in simplest form!

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