Convert Fraction to Percentage: Calculate 9/25 as a Percent

Fraction to Percentage with Decimal Conversion

Calculate 9 over 25 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 9 as a percentage of 25
00:04 Apply the formula to calculate percentages
00:12 Divide the number by the second number and proceed to multiply by 100
00:19 Break down into factors and reduce wherever possible
00:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 9 over 25 as a percentage:

2

Step-by-step solution

To solve the problem of converting the fraction 925\frac{9}{25} into a percentage, we will proceed through the following steps:

  • Step 1: Recognize that the fraction can be converted to a percentage by multiplying it by 100
  • Step 2: Calculate by performing the operation 925×100%\frac{9}{25} \times 100\%
  • Step 3: Simplify the calculation to find the percentage value

Now, let's apply these steps to find the answer:

Step 1: Our fraction is 925\frac{9}{25}.

Step 2: We convert it to a percentage by multiplying by 100:

925×100%=9×10025% \frac{9}{25} \times 100\% = \frac{9 \times 100}{25}\%

Step 3: Simplify the expression:

90025%=36% \frac{900}{25}\% = 36\%

Therefore, the fraction 925\frac{9}{25} is equivalent to 36% when expressed as a percentage.

3

Final Answer

36%

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply any fraction by 100 to convert to percentage
  • Technique: Calculate 925×100=90025=36\frac{9}{25} \times 100 = \frac{900}{25} = 36
  • Check: Verify 36% = 0.36 and 925=0.36\frac{9}{25} = 0.36

Common Mistakes

Avoid these frequent errors
  • Dividing by 100 instead of multiplying
    Don't divide 9/25 by 100 = 0.0036! This gives you a decimal smaller than the original fraction, not a percentage. Always multiply the fraction by 100 to convert to percentage.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

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Percent means "per hundred" - so converting to percentage tells you how many parts out of 100. Multiplying by 100 scales your fraction to show this!

Can I convert to decimal first, then percentage?

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Absolutely! 925=0.36\frac{9}{25} = 0.36, then 0.36 × 100 = 36%. Both methods give the same answer.

What if my fraction doesn't divide evenly?

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That's okay! You might get a percentage with decimals like 33.33%. Just round appropriately based on what the problem asks for.

How can I check if 36% is correct?

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Convert back: 36% = 36/100 = 9/25. Since this matches our original fraction, 36% is correct!

Is there a shortcut for fractions with denominator 25?

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Yes! Since 25 × 4 = 100, multiply both numerator and denominator by 4: 925=36100=36%\frac{9}{25} = \frac{36}{100} = 36\%

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