Convert Fraction to Percentage: Finding 20/82 as a Percent

Question

Approximately what is 2082 \frac{20}{82} written as a percentage?

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the given fraction to a percentage using the following steps:

  • Step 1: Divide the numerator by the denominator to get a decimal value.
  • Step 2: Multiply the decimal by 100 to convert it to a percentage.
  • Step 3: Check the result with the provided multiple-choice options.

Now, let's work through each step:

Step 1: Divide 2020 by 8282:

20820.2439 \frac{20}{82} \approx 0.2439

Step 2: Multiply the result by 100100 to convert to a percentage:

0.2439×10024.39% 0.2439 \times 100 \approx 24.39\%

Step 3: Approximate the result to the nearest common percentage value, which is 25%.

Therefore, the solution to the problem is 25%.

Answer

25%