Convert 33% to a Fraction: Finding the Equivalent /100 Form

Percentage Conversion with Direct Fraction Form

Write the percentage 33% 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
00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:20 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the percentage 33% as a fraction with a denominator of 100.

2

Step-by-step solution

To solve this problem, we will employ the following straightforward steps:

  • Step 1: Identify the given percentage, which is 33%.
  • Step 2: Use the definition of percentage to convert it into a fraction. A percentage is a fraction out of 100. Therefore, 33% equals 33100\frac{33}{100}.

Therefore, the solution to the problem is 33100 \frac{33}{100} .
Comparing with the given choices, the correct option is .

3

Final Answer

33100 \frac{33}{100}

Key Points to Remember

Essential concepts to master this topic
  • Definition: Any percentage equals that number over 100
  • Technique: Write 33% directly as 33100 \frac{33}{100}
  • Check: Verify 33100=0.33=33% \frac{33}{100} = 0.33 = 33\% ✓

Common Mistakes

Avoid these frequent errors
  • Converting percentage to decimal first then creating fraction
    Don't convert 33% to 0.33 then write 0.331 \frac{0.33}{1} = wrong denominator! This creates unnecessary decimal fractions instead of the required /100 form. Always write percentages directly as the number over 100.

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?

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The word "percent" literally means "per hundred" or "out of 100." So any percentage is automatically a fraction with 100 as the denominator!

Do I need to simplify 33100 \frac{33}{100} ?

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Not for this problem! The question specifically asks for a denominator of 100. Since 33 and 100 share no common factors other than 1, 33100 \frac{33}{100} is already in simplest form with the required denominator.

What if I wrote 3.3310 \frac{3.33}{10} instead?

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This is incorrect because it has the wrong denominator (10 instead of 100) and uses a decimal in the numerator. Always keep percentages as whole numbers over 100 when possible.

How do I check if my fraction equals the original percentage?

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Divide the numerator by denominator: 33÷100=0.33 33 \div 100 = 0.33 . Then convert back: 0.33=33% 0.33 = 33\% . If it matches your original percentage, you're correct!

Will this method work for any percentage?

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Yes! Any percentage can be written as that number over 100. For example: 75% = 75100 \frac{75}{100} , 8% = 8100 \frac{8}{100} , even 150% = 150100 \frac{150}{100} .

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