Convert the Fraction 16.5/100 to a Percentage: Step-by-Step Guide

Percentage Conversion with Decimal Fractions

Convert the fraction 16.5100 \frac{16.5}{100} to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's turn fractions into percentages.
00:10 To do this, make the bottom number, or denominator, one hundred.
00:15 The top number, called the numerator, is your percentage.
00:20 Now, let's use this method in an example.
00:29 And that's how we find the answer. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the fraction 16.5100 \frac{16.5}{100} to a percentage:

2

Step-by-step solution

To solve this problem, we will convert the given fraction 16.5100 \frac{16.5}{100} into a percentage.

Step-by-step solution:

  • Step 1: Identify the problem: We have a fraction 16.5100 \frac{16.5}{100} which we need to express as a percentage.

  • Step 2: Recognize that a fraction with a denominator of 100 directly represents its percentage form. Therefore, 16.5100=16.5% \frac{16.5}{100} = 16.5\% .

After conversion, we confirm that the percentage is 16.5% 16.5\% .

3

Final Answer

16.5%

Key Points to Remember

Essential concepts to master this topic
  • Rule: Fractions with denominator 100 convert directly to percentages
  • Technique: Take the numerator value: 16.5100=16.5% \frac{16.5}{100} = 16.5\%
  • Check: Convert back: 16.5% = 16.5100 \frac{16.5}{100} matches original ✓

Common Mistakes

Avoid these frequent errors
  • Moving the decimal point incorrectly
    Don't move the decimal point when the denominator is already 100 = 165% instead of 16.5%! This creates answers 10 times too large. Always recognize that 16.5100 \frac{16.5}{100} means 16.5 parts out of 100, which is exactly 16.5%.

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

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Great observation! When the denominator is already 100, the fraction is already expressed as parts per 100. You just read the numerator as the percentage: 16.5100=16.5% \frac{16.5}{100} = 16.5\% .

What if the fraction had a different denominator like 16.5200 \frac{16.5}{200} ?

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Then you'd need to multiply by 100! For example: 16.5200×100=8.25% \frac{16.5}{200} \times 100 = 8.25\% . The key is recognizing when the denominator is already 100.

Can I have decimal numbers in percentages?

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Absolutely! Percentages can be decimals, just like regular numbers. 16.5% means 16.5 parts out of every 100, which is perfectly valid.

How do I convert this percentage back to a fraction?

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Simply write it as 16.5100 \frac{16.5}{100} ! If you want to eliminate the decimal, multiply both numerator and denominator by 10: 1651000 \frac{165}{1000} , then simplify to 33200 \frac{33}{200} .

Is there a shortcut for recognizing these problems?

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Yes! Whenever you see a fraction with denominator 100, think "direct conversion". The numerator becomes the percentage value immediately, no calculations needed!

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