## 1/11 as a decimal is 0.09

## Want to practice?

In the fraction **1/11** , the number **1** is

- Numerator
- Denominator
- Decimal
- Fraction

- Numerator

In the fraction** 1/11** , the number **11** is

- Numerator
- Denominator
- Decimal
- Fraction

- Denominator

**1/11**?

- 2/22
- 2/11
- 1/22
- 2/33

- 2/22

What is the equivalent fraction to **1/11**?

- 1/33
- 2/33
- 3/22
- 4/44

- 4/44

Complete the given division and fill in the blanks.

## Solution

**Step 1:**

Add a decimal point to the quotient as 11 > 1 and is not divisible. By doing so we can add one 0 to the dividend to make it 10. As it can be noted that 10 is still less than 11, add another 0 to the quotient and to the dividend to make it 100.

**Step 2:**

Continue division until the remainder is repeated. Here we can see that the remainder 1 is repeated after two steps. Hence the answer is a non-terminating decimal number.

A non-terminating decimal number is a number in which one digit or a sequence of digits are repeated continuously.

To denote these values in a terminating form, we write the numbers that are repeated with a bar over them.

Here the quotient is 0.0909…… and can be written as

The division of the numerator by the denominator gives the decimal form of the fraction.

## Remember

Here are some common terms you should be familiar with.

- In the fraction
, the number 1 is the dividend ( our numerator)- The number 11 is our divisor (
our denominator).

## Find More Fractions to Decimals

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