Convert the Fraction 11/100 to Decimal Form: Step-by-Step Solution

Q: Why does 11/100 become 0.11 and not 0.011?

The denominator 100 tells you exactly where to place the decimal! Since 100 = 10², you move the decimal point two places to the left from 11.0 to get 0.11.

Q: Do I always need to write the zero before the decimal?

Yes! Always write 0.11 instead of just .11. The leading zero makes it clear that your number is less than one and prevents confusion.

Q: What if I had 11/1000 instead?

With 1000 in the denominator, you'd move the decimal three places left: 11 ÷ 1000 = 0.011. The number of zeros in the denominator tells you how many decimal places to use.

Q: How can I check if 0.11 is correct?

Convert back to a fraction! $ 0.11 = \frac{11}{100} $ ✓ Or multiply: $ 0.11 \times 100 = 11 $ ✓

Q: Is 0.11 the same as 0.110?

Yes! Adding zeros to the right of a decimal doesn't change its value. 0.11 = 0.110 = 0.1100, but 0.11 is the simplest form.

Fraction to Decimal with Place Value

Write the following fraction as a decimal:

$\frac{11}{100}=$

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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 In a decimal fraction, take the numerator as a number

00:06 According to the denominator, move the decimal point

00:10 When the denominator equals 100, move the point two places left

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

Write the following fraction as a decimal:

$\frac{11}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$11.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.110$

We'll add the zero before the decimal point and get:

$0.110=0.11$

Final Answer

0.11

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, decimal has two decimal places
Technique: Move decimal point left: 11 ÷ 100 = 0.11
Check: Count decimal places: 0.11 has hundredths place = 100 ✓

Common Mistakes

Avoid these frequent errors

Forgetting the leading zero before decimal point
Don't write .11 without the zero = unclear decimal notation! This creates confusion and may be marked incorrect. Always write 0.11 with the leading zero to show it's less than one.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why does 11/100 become 0.11 and not 0.011?

The denominator 100 tells you exactly where to place the decimal! Since 100 = 10², you move the decimal point two places to the left from 11.0 to get 0.11.

Do I always need to write the zero before the decimal?

Yes! Always write 0.11 instead of just .11. The leading zero makes it clear that your number is less than one and prevents confusion.

What if I had 11/1000 instead?

With 1000 in the denominator, you'd move the decimal three places left: 11 ÷ 1000 = 0.011. The number of zeros in the denominator tells you how many decimal places to use.

How can I check if 0.11 is correct?

Convert back to a fraction! $0.11 = \frac{11}{100}$ ✓ Or multiply: $0.11 \times 100 = 11$ ✓

Is 0.11 the same as 0.110?

Yes! Adding zeros to the right of a decimal doesn't change its value. 0.11 = 0.110 = 0.1100, but 0.11 is the simplest form.

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