# What is 1/12 as a decimal?

## Solution

All fractions can be converted to the decimal form by the long division method.

The fraction $$\frac1{12}$$ can be written as $$1\div12$$.

Let us do the long division for the given fraction.

• When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.
• We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.
• Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.
• We can stop the division here as we know that the answer is a non-terminating decimal.

Hence the decimal form of the fraction $$\frac1{12}$$ is 0.8333……

Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.

$$\frac{\mathbf1}{\mathbf{12}}\boldsymbol=\mathbf0\boldsymbol.\mathbf8\overset{\boldsymbol¯}{\mathbf3}$$

Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac{1}{12}$$, the number 1 is the dividend (our numerator)
• The number 12 is our divisor (our denominator)

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