# What is 1/9 as a decimal?

## Want to practice?

The decimal form of the fraction is the representation of the whole number and the fraction part separated by the decimal point.

The decimal form of a fraction is obtained by dividing the numerator of the fraction by the denominator.

A decimal number answer is arrived at when the division does not give 0 as a remainder in any of the steps. The decimal point is added to the quotient when the divisor becomes greater than the dividend and cannot be divided.

Carry out the long division of the given fraction.

Note that 9 > 1 and is not divisible, hence we place a decimal point in the answer before adding 0 to the dividend. It can be seen that the division gives the same remainder in all the steps as a result of which the digits in the quotient are repeated.

Such decimal numbers are called repeating decimals or recurring decimals. They have digits that do not terminate.

The answer is 0.1111……

In order to write the decimal in a terminating form, we place a bar over the decimal to indicate that the numbers are recurring.

$$\frac{\mathbf1}{\mathbf9}\boldsymbol=\mathbf0\boldsymbol.\overset{\boldsymbol¯}{\mathbf1}$$

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{1}{9}$$, the number 1 is the dividend (our numerator)
• The number 9 is our divisor (our denominator)

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