Convert Decimal to Fraction: Express 0.11 in Simplest Form

Q: How do I know what denominator to use?

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 0.11 has two decimal places, use 100 as your denominator.

Q: Why don't I write the leading zero in the numerator?

Leading zeros don't add value! $ \frac{011}{100} $ equals $ \frac{11}{100} $ because 011 = 11. Always remove unnecessary zeros from the numerator.

Q: What if I have more decimal places like 0.125?

Same rule applies! Count the places: 0.125 has three decimal places, so write it as $ \frac{125}{1000} $, then simplify if possible.

Decimal to Fraction with Place Value

Convert into fraction form:

$0.11=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Match the position of digits after the decimal point to the appropriate division

00:06 Add 0 to the fraction

00:10 Place the digits in the numerator, and the appropriate division in the denominator

00:14 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

Convert into fraction form:

$0.11=$

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{011}{100}$

Finally we will remove the unnecessary zeros as follows:

$\frac{11}{100}$

Final Answer

$\frac{11}{100}$

Key Points to Remember

Essential concepts to master this topic

Rule: Decimal places determine the denominator: hundredths become 100
Technique: Write 0.11 as 11/100 based on two decimal places
Check: Divide 11 ÷ 100 = 0.11 to verify correctness ✓

Common Mistakes

Avoid these frequent errors

Placing decimal digits over wrong denominator
Don't write 0.11 as 11/10 = 1.1! This ignores the second decimal place and gives a much larger value. Always count decimal places: two places means divide by 100.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{1}{100}=$

FAQ

Everything you need to know about this question

How do I know what denominator to use?

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 0.11 has two decimal places, use 100 as your denominator.

Why don't I write the leading zero in the numerator?

Leading zeros don't add value! $\frac{011}{100}$ equals $\frac{11}{100}$ because 011 = 11. Always remove unnecessary zeros from the numerator.

Do I need to simplify this fraction further?

Check if the numerator and denominator share common factors. Since 11 is prime and doesn't divide 100, $\frac{11}{100}$ is already in simplest form!

What if I have more decimal places like 0.125?

Same rule applies! Count the places: 0.125 has three decimal places, so write it as $\frac{125}{1000}$ , then simplify if possible.

How can I double-check my answer?

Divide the numerator by denominator: 11 ÷ 100 = 0.11. If this matches your original decimal, you're correct!

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