Convert Fraction to Percentage: Finding the Value of 1/9

Q: Why do we multiply by 100 to convert fractions to percentages?

Because percent means "per hundred"! When you multiply by 100, you're finding how many parts out of 100 the fraction represents. So $ \frac{1}{9} \times 100 $ tells us how many parts out of 100.

Q: Should I round 11.11% to 10% or 11%?

Look at the question! It asks for an approximate value, and 10% is the closest option given. In math, we round 11.11% to 11%, but when choosing from multiple choice answers, pick the closest available option.

Q: Can I use long division instead of a calculator?

Absolutely! Divide 1 ÷ 9 using long division to get 0.111... (repeating), then multiply by 100. This gives you the exact decimal representation before rounding.

Q: What does the repeating decimal 0.111... mean?

The dots mean the 1's continue forever! So $ \frac{1}{9} = 0.\overline{1} $ where the bar over 1 shows it repeats. This equals exactly 11.111...% or approximately 11.11%.

Fraction to Percentage with Decimal Approximation

Approximately what is $\frac{1}{9}$ 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 convert to percentages

00:10 Multiply the entire fraction by 100, and calculate the quotient

00:18 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 $\frac{1}{9}$ as a percentage?

Step-by-step solution

To find the approximate percentage of $\frac{1}{9}$ , we follow these steps:

Step 1: Use the formula to convert the fraction to a percentage. This involves multiplying the fraction by 100:

\text{Percentage} = \frac{1}{9} \times 100

Calculating the above expression gives us:

\text{Percentage} \approx 11.11\%

This result is approximately equal to 10% when rounding to the nearest whole number, which corresponds to choice 1 in the list of possible answers.

Therefore, the approximate percentage of $\frac{1}{9}$ is 10%.

Final Answer

10%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply fraction by 100 to convert to percentage form
Technique: Calculate $\frac{1}{9} \times 100 = 11.11\%$ then round appropriately
Check: Verify 10% ≈ 0.10 and $\frac{1}{9}$ ≈ 0.111 are close ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 when converting to percentage
Don't just divide 1 ÷ 9 = 0.111 and call it 0.111%! This gives a percentage that's 100 times too small. Always multiply the decimal result by 100 to get the correct percentage.

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 we multiply by 100 to convert fractions to percentages?

Because percent means "per hundred"! When you multiply by 100, you're finding how many parts out of 100 the fraction represents. So $\frac{1}{9} \times 100$ tells us how many parts out of 100.

Should I round 11.11% to 10% or 11%?

Look at the question! It asks for an approximate value, and 10% is the closest option given. In math, we round 11.11% to 11%, but when choosing from multiple choice answers, pick the closest available option.

Can I use long division instead of a calculator?

Absolutely! Divide 1 ÷ 9 using long division to get 0.111... (repeating), then multiply by 100. This gives you the exact decimal representation before rounding.

What does the repeating decimal 0.111... mean?

The dots mean the 1's continue forever! So $\frac{1}{9} = 0.\overline{1}$ where the bar over 1 shows it repeats. This equals exactly 11.111...% or approximately 11.11%.

How do I know when to round up or down?

Use the standard rounding rule: if the digit after your rounding place is 5 or greater, round up. If it's less than 5, round down. For 11.11%, rounding to the nearest whole gives 11%.

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