Convert 80/11 to Percentage: Fraction Approximation Problem

Q: Why do I get such a large percentage like 800%?

Percentages over 100% are normal! Since $ \frac{80}{11} $ is greater than 1 (80 > 11), the percentage must be greater than 100%. Think of it as: this fraction represents almost 8 whole units!

Q: How do I know when to round my answer?

The question asks for an approximation, so look at your choices! Since 727% isn't listed but 800% is close, round to the nearest hundred. Always read whether the question wants exact or approximate answers.

Q: Can I convert fractions to percentages without decimals?

Yes! You can multiply the fraction by 100 directly: $ \frac{80}{11} \times 100 = \frac{8000}{11} $. Then divide: $ 8000 ÷ 11 = 727.27... $ which still gives you the same result!

Q: What if I can't divide 80 by 11 easily?

Use long division or estimate: 11 goes into 80 about 7 times (since $ 11 \times 7 = 77 $). So $ \frac{80}{11} \approx 7.3 $, giving roughly 730%.

Q: Why isn't 727% one of the answer choices?

Multiple choice questions often test your approximation skills! Since 727% is closest to 800% among the given options, that's the correct choice. Don't overthink - pick the closest reasonable answer.

Fraction to Percentage with Approximation Methods

Approximately what is $\frac{80}{11}$ 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

00:03 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

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

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

Step 1: Convert the fraction $\frac{80}{11}$ 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 $80$ by $11$ . The result is approximately $7.27$ , as $11$ goes into $80$ 7 times with a remainder.
Step 2: Multiply $7.27$ by $100$ to convert it to a percentage: $7.27 \times 100 = 727\%$ . However, since the question asks for an approximation, use rounding to the nearest hundred percent: approximately $800\%$ .
Step 3: Among the choices provided, the closest approximate percentage is 800%, corresponding to choice 4.

Therefore, the solution to the problem is 800%.

Final Answer

800%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator, then multiply by 100
Technique: $\frac{80}{11} = 7.27$ , then $7.27 \times 100 = 727\%$
Check: Round 727% to nearest hundred: 700% or 800% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't stop at 7.27 = 7.27%! This gives 7% instead of 727%. The decimal 7.27 represents 727 hundredths, not 7 hundredths. Always multiply your decimal result by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do I get such a large percentage like 800%?

Percentages over 100% are normal! Since $\frac{80}{11}$ is greater than 1 (80 > 11), the percentage must be greater than 100%. Think of it as: this fraction represents almost 8 whole units!

How do I know when to round my answer?

The question asks for an approximation, so look at your choices! Since 727% isn't listed but 800% is close, round to the nearest hundred. Always read whether the question wants exact or approximate answers.

Can I convert fractions to percentages without decimals?

Yes! You can multiply the fraction by 100 directly: $\frac{80}{11} \times 100 = \frac{8000}{11}$ . Then divide: $8000 ÷ 11 = 727.27...$ which still gives you the same result!

What if I can't divide 80 by 11 easily?

Use long division or estimate: 11 goes into 80 about 7 times (since $11 \times 7 = 77$ ). So $\frac{80}{11} \approx 7.3$ , giving roughly 730%.

Why isn't 727% one of the answer choices?

Multiple choice questions often test your approximation skills! Since 727% is closest to 800% among the given options, that's the correct choice. Don't overthink - pick the closest reasonable answer.

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