# What is 5/11 as a decimal?

## Want to practice?

All the fractions can be written in a decimal form by just dividing the numerator by the denominator. The answer resulting from the division is the decimal form of the fraction.

## Solution

Let us do the long division for the fraction $$\frac5{11}$$ to get the decimal form of the fraction.

The numerator 5 is the dividend and the denominator 11 is the divisor.

Start the division by placing a decimal point in the quotient to add 0 to the divisor.

Note that you can add 0 to the remainder in all the steps to make it divisible by 11.

We can see that after two steps of division we arrive at the same remainder 5, which was in the first step. If we continue dividing, the digits 4 and 5 in the quotient will be repeated.

The decimals that are repeated can be written as 0.454545…….

To represent this as a proper decimal, write the repeating digits with a bar over them.

$$0.4545….=0.\overline{45}$$

So the decimal form of the fraction $$\frac5{11}$$using the long division method is $$0.\overline{45}$$.

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac5{11}$$, the number 4 is the dividend (our numerator)
• The number 9 is our divisor (our denominator)

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