Convert Fraction 2/100 to Percentage: Step-by-Step Guide

Fraction to Percentage with Denominators of 100

Convert the fraction into a percentage:

2100=? \frac{2}{100}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's learn how to convert fractions into percentages.
00:11 If a fraction's bottom number is one hundred, the top number is the percentage. Easy, right?
00:18 Now, let's apply this formula to our exercise. Follow along closely!
00:26 And this is the complete solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the fraction into a percentage:

2100=? \frac{2}{100}=\text{?}

2

Step-by-step solution

To convert the fraction 2100\frac{2}{100} into a percentage, follow these steps:

  • Step 1: Recognize that to convert a fraction to a percentage, you multiply the fraction by 100.
  • Step 2: Multiply the numerator of the fraction by 100:

2100×100=2 \frac{2}{100} \times 100 = 2

This tells us that 2100\frac{2}{100} is equivalent to 2%.

Therefore, the correct percentage is 2%.

3

Final Answer

2%

Key Points to Remember

Essential concepts to master this topic
  • Rule: To convert fraction to percentage, multiply by 100
  • Technique: With denominator 100, numerator becomes the percentage: 2100=2% \frac{2}{100} = 2\%
  • Check: Convert back: 2% = 0.02, and 2÷100 = 0.02 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing the conversion direction or forgetting to multiply by 100
    Don't just convert 2100 \frac{2}{100} to 0.02 and call it 0.02%! This skips the multiplication by 100 step. Always multiply the fraction by 100 to get the percentage: 2100×100=2% \frac{2}{100} \times 100 = 2\% .

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 do I multiply by 100 to get a percentage?

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Percentage means "per hundred" - so you're finding how many parts out of 100. When you multiply 2100×100 \frac{2}{100} \times 100 , you're asking "how many out of 100?"

Is there a shortcut when the denominator is already 100?

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Yes! When the denominator is 100, the numerator is your percentage. So 2100=2% \frac{2}{100} = 2\% , 25100=25% \frac{25}{100} = 25\% , etc.

What if I got 20% as my answer?

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That's a common mistake! You might have thought 2100=2×10100 \frac{2}{100} = \frac{2 \times 10}{100} . Remember: the fraction already shows 2 out of 100, which is simply 2%.

How can I double-check my percentage conversion?

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Convert your percentage back to a decimal and compare! 2% = 0.02, and 2100=0.02 \frac{2}{100} = 0.02 ✓. They match!

Do I always multiply by 100 for any fraction?

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Yes! Whether it's 14 \frac{1}{4} , 35 \frac{3}{5} , or 2100 \frac{2}{100} , you always multiply by 100 to convert to percentage. The denominator of 100 just makes the arithmetic easier!

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