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5/22 as a percentage

Understand the Problem

The question is asking how to express the fraction 5/22 as a percentage. To convert a fraction to a percentage, we multiply it by 100.

Answer

The fraction $ \frac{5}{22} $ is approximately $ 22.73\% $.
Answer for screen readers

The percentage equivalent of the fraction $ \frac{5}{22} $ is approximately $ 22.73% $.

Steps to Solve

  1. Convert the fraction to a decimal To convert the fraction $ \frac{5}{22} $ to a decimal, divide the numerator (5) by the denominator (22):
    $$ 5 \div 22 \approx 0.227272727... $$

  2. Multiply by 100 to get the percentage Now, multiply the decimal result by 100 to convert it to a percentage:
    $$ 0.227272727... \times 100 \approx 22.727272727... $$

  3. Round the result to a desired precision If needed, round the percentage to a suitable number of decimal places. For example, rounding to two decimal places:
    $$ 22.73% $$

The percentage equivalent of the fraction $ \frac{5}{22} $ is approximately $ 22.73% $.

More Information

When you convert a fraction to a percentage, you essentially find out how many parts out of 100 can be made from that fraction. This method is commonly used in various applications, such as finance and statistics.

Tips

  • Not dividing correctly: Ensure you perform the division accurately; mistakes can lead to incorrect decimal values.
  • Incorrect multiplication: Remember to multiply by 100 after obtaining the decimal, as omitting this step can result in the wrong final answer.
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