What is 1/11 as a decimal?

3 min read
What is 1/11 as a decimal?

1/11 as a decimal is 0.09

Want to practice?

Complete the given division and fill in the blanks.

1 over 11 as a decimal

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.

1/11 as a decimal

A non-terminating decimal number is a number in which one digit or a sequence of digits are repeated continuously.
Boost your score What is 1/11 as a decimal img
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

$$1\div11=0.\overline{09}$$

$$\frac1{11}=0.\overline{09}$$

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 $$\frac1{11}$$, the number 1 is the dividend (our numerator)
  • The number 11 is our divisor (our denominator).

Find More Fractions to Decimals

You may be interested in what is 11/16 as a decimal fraction?