Convert the Fraction 11/10 to Decimal Form: Step-by-Step

Q: Why does 11/10 equal more than 1?

Because 11 is larger than 10! When the numerator is bigger than the denominator, you get an improper fraction that equals more than 1 whole.

Q: How do I remember which way to move the decimal?

Think about it logically: dividing makes things smaller. So when you divide by 10, move the decimal point left to make the number smaller.

Q: What if I don't see a decimal point in 11?

Every whole number has an invisible decimal point at the end! So 11 is really 11.0, which makes it easier to move the decimal left.

Q: Can I use long division instead?

Absolutely! Set up 11 ÷ 10 using long division. You'll get 1 remainder 1, which becomes 1.1 when you continue dividing.

Fraction to Decimal with Power of Ten Denominators

Write the following fraction as a decimal:

$\frac{11}{10}=$

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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, we take the numerator as a number

00:07 And according to the denominator, we move the decimal point

00:10 When the denominator equals 10, move the decimal point once to the left

00:15 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:

$\frac{11}{10}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$11.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.11$

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

$0.11$

Final Answer

1.1

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: Convert 11 ÷ 10 by writing 11.0 then moving decimal left
Check: Multiply back: 1.1 × 10 = 11 confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 10 = gives 110.0 instead of 1.1! Dividing makes numbers smaller, not bigger. Always move the decimal point LEFT when dividing by powers of 10.

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 11/10 equal more than 1?

Because 11 is larger than 10! When the numerator is bigger than the denominator, you get an improper fraction that equals more than 1 whole.

How do I remember which way to move the decimal?

Think about it logically: dividing makes things smaller. So when you divide by 10, move the decimal point left to make the number smaller.

What if I don't see a decimal point in 11?

Every whole number has an invisible decimal point at the end! So 11 is really 11.0, which makes it easier to move the decimal left.

Can I use long division instead?

Absolutely! Set up 11 ÷ 10 using long division. You'll get 1 remainder 1, which becomes 1.1 when you continue dividing.

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