Convert Fraction to Percentage: Finding the Value of 11/50

Fraction to Percentage with Division Method

Approximately what is 1150 \frac{11}{50} written as a percentage?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert approximately to percentages
00:04 Convert to the closest fraction that we can convert to percentages
00:08 Break down 50 into factors 10 and 5
00:18 Simplify what we can
00:22 This is the simple fraction, now let's convert to percentages
00:25 Multiply the entire fraction by 100, and calculate the quotient
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Approximately what is 1150 \frac{11}{50} written as a percentage?

2

Step-by-step solution

To solve this problem, we will convert the fraction 1150 \frac{11}{50} to a percentage by following these steps:

  • Step 1: Convert the fraction 1150\frac{11}{50} to a decimal. We do this by dividing 11 by 50.
  • 11÷50=0.2211 \div 50 = 0.22
  • Step 2: Convert the decimal to a percentage by multiplying it by 100.
  • 0.22×100=22%0.22 \times 100 = 22\%
  • This step gives us the exact percentage value. However, since the question asks for an approximation and the multiple-choice answer matches precisely one value, we round 22% to the nearest common percentage, which is 20% in a context of approximation.

Therefore, the approximate percentage representation of 1150\frac{11}{50} is 20%.

3

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert fractions to percentages by dividing then multiplying by 100
  • Technique: Calculate 11 ÷ 50 = 0.22, then 0.22 × 100 = 22%
  • Check: Verify 22% of 50 equals 11: 0.22 × 50 = 11 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing numerator and denominator positions
    Don't calculate 50 ÷ 11 instead of 11 ÷ 50 = wrong decimal and percentage! This reverses the fraction and gives a completely incorrect result. Always divide the numerator by the denominator: top number ÷ bottom number.

Practice Quiz

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Approximately what is \( \frac{11}{50} \) written as a percentage?

FAQ

Everything you need to know about this question

Why do we multiply by 100 to get a percentage?

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Percentage means 'per hundred', so multiplying by 100 converts our decimal to show how many parts per 100. For example, 0.22 becomes 22 parts out of 100, or 22%.

Can I convert the fraction to have 100 in the denominator instead?

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Yes! You can multiply both numerator and denominator by 2 to get 22100 \frac{22}{100} = 22%. This method works when you can easily make the denominator 100.

The answer choices don't include 22% - what should I do?

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Look for the closest approximation in the choices. Since 22% is closest to 20%, that would be your answer when exact matching isn't available.

How can I quickly estimate without a calculator?

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Think: 1050 \frac{10}{50} = 20%, and 1150 \frac{11}{50} is slightly more than 1050 \frac{10}{50} , so the answer should be slightly more than 20%.

What if the fraction doesn't divide evenly?

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That's normal! Many fractions create repeating decimals. Just calculate to 2-3 decimal places, then multiply by 100 and round to a reasonable number of decimal places.

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