Convert 80/11 to Percentage: Fraction Approximation Problem

Approximately what is 8011 \frac{80}{11} written as a percentage?

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Step-by-step video solution

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00:00 Convert approximately to percentages
00:03 Convert to the closest fraction that we can turn into percentages
00:12 Break down 80 into factors 8 and 10
00:18 Simplify what we can
00:22 Multiply by 100 to convert to percentages
00:27 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Approximately what is 8011 \frac{80}{11} written as a percentage?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction 8011 \frac{80}{11} into a decimal number.
  • Step 2: Multiply the resulting decimal by 100 to find the percentage.
  • Step 3: Identify the correct choice from the provided options.

Now, let's work through each step:
Step 1: Divide 80 80 by 11 11 . The result is approximately 7.27 7.27 , as 11 11 goes into 80 80 7 times with a remainder.
Step 2: Multiply 7.27 7.27 by 100 100 to convert it to a percentage: 7.27×100=727% 7.27 \times 100 = 727\% . However, since the question asks for an approximation, use rounding to the nearest hundred percent: approximately 800% 800\%.
Step 3: Among the choices provided, the closest approximate percentage is 800%, corresponding to choice 4.

Therefore, the solution to the problem is 800%.

3

Final Answer

800%

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

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