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

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

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Step-by-step video solution

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00:00 Convert approximately to percentages
00:04 Convert to the closest fraction we can change to percentages
00:15 Break down 80 into factors 20 and 4
00:22 Reduce what we can
00:26 This is the simple fraction, now let's convert to percentages
00:31 Multiply the entire fraction by 100
00:36 Break down 100 into factors 25 and 4
00:40 Reduce what we can
00:44 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

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%.

3

Final Answer

25%

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Approximately what is \( \frac{1}{9} \) as a percentage?

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