Express 1.11 in Different Number Forms: Decimal Conversion Practice

Q: How do I know what denominator to use?

Count the decimal places (digits after the decimal point). One place = 10, two places = 100, three places = 1000, and so on. Since 1.11 has two decimal places, use 100.

Q: Do I need to simplify the fraction?

Check if $ \frac{111}{100} $ can be simplified by finding common factors. Since 111 and 100 share no common factors, this fraction is already in simplest form.

Q: What if the decimal has different numbers of places?

The same rule applies! 0.5 = 5/10, 0.25 = 25/100, 0.125 = 125/1000. Just match the number of decimal places with the corresponding power of 10.

Decimal to Fraction Conversion with Place Value

Convert into fraction form:

$1.11=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's convert this number into a decimal fraction.

00:08 Now, align the digits after the decimal point with the correct division.

00:12 Put these digits on top as the numerator, and the right division below as the denominator.

00:18 And that's how we find the solution to this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert into fraction form:

$1.11=$

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

We will write the fraction in the following way:

$\frac{111}{100}$

Final Answer

$\frac{111}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count decimal places to determine denominator power of 10
Technique: Two decimal places means denominator 100, so 1.11 = $\frac{111}{100}$
Check: Divide 111 ÷ 100 = 1.11 to verify conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on number of digits
Don't count total digits like making 1.11 = $\frac{111}{1000}$ ! This ignores place value rules and gives wrong results. Always count only the digits after the decimal point to determine the denominator.

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 (digits after the decimal point). One place = 10, two places = 100, three places = 1000, and so on. Since 1.11 has two decimal places, use 100.

Why isn't the answer 11/10?

That would be if you had 1.1 (one decimal place). But 1.11 has two decimal places, so you need all digits: 111 in the numerator and 100 in the denominator.

Do I need to simplify the fraction?

Check if $\frac{111}{100}$ can be simplified by finding common factors. Since 111 and 100 share no common factors, this fraction is already in simplest form.

What if the decimal has different numbers of places?

The same rule applies! 0.5 = 5/10, 0.25 = 25/100, 0.125 = 125/1000. Just match the number of decimal places with the corresponding power of 10.

How can I check if my conversion is correct?

Divide the numerator by the denominator using long division or a calculator. If you get back your original decimal, you're right! For example: 111 ÷ 100 = 1.11 ✓

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