Convert 66% to a Fraction: Finding the Equivalent /100 Form

Percentage Conversion with Direct Translation

Write the percentage 66% 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 learn how to change percentages into fractions.
00:10 A percentage is a fraction where the top number, or numerator, is X. And the bottom number, or denominator, is one hundred.
00:19 Now, let's use this rule to solve our example.
00:25 And there you have it, this is how we find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the percentage 66% as a fraction with a denominator of 100.

2

Step-by-step solution

To solve the problem of converting 66% into a fraction with a denominator of 100, we follow these simple steps:

  • Step 1: Recognize that the percentage 66% means 66 per 100.
  • Step 2: Write this as a fraction directly as 66100 \frac{66}{100} .

Therefore, the percentage 66% expressed as a fraction with a denominator of 100 is 66100 \frac{66}{100} .

3

Final Answer

66100 \frac{66}{100}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Percentage means 'per 100', so 66% equals 66 out of 100
  • Technique: Write percentage directly as fraction: 66% = 66100 \frac{66}{100}
  • Check: Convert back to percentage: 66100 \frac{66}{100} × 100% = 66% ✓

Common Mistakes

Avoid these frequent errors
  • Adding decimal points or changing the numerator
    Don't write 66% as 6.6 or 6.6100 \frac{6.6}{100} = wrong fraction! The % symbol already means 'divided by 100', so you just need the number before % as your numerator. Always use 66 as the numerator when converting 66%.

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 when converting percentages?

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The word percent literally means 'per hundred' (cent = 100, like century). So any percentage automatically has 100 as its denominator - that's what makes it a percentage!

Do I need to simplify 66100 \frac{66}{100} ?

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The question specifically asks for a denominator of 100, so don't simplify this time! Even though 66100=3350 \frac{66}{100} = \frac{33}{50} , keep it as 66100 \frac{66}{100} .

What if I see 66% written as a decimal first?

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Whether you start with 66% or 0.66, the fraction with denominator 100 is still 66100 \frac{66}{100} . The percentage form makes this conversion most direct!

Can I write this as 6610 \frac{66}{10} instead?

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No! The question specifically asks for denominator 100. While 6610=6.6 \frac{66}{10} = 6.6 equals 6.6 (not a proper fraction), you must use 66100 \frac{66}{100} .

How do I remember this conversion method?

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Think: 66% = 66 per 100 = 66100 \frac{66}{100} . The number before % becomes the numerator, and 100 is always the denominator for percentages!

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