What is 1/12 as a decimal?

1/12 as a decimal is 0.083

Want to practice?

Question 1Convert the fraction

What is 1/12 written as a decimal?

Answer

0.08333333.

Divide 1 by 12.

Question 2Check with multiplication

How can you check the decimal value of 1/12?

Answer

Multiply 0.08333333 by 12; the result is 1.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 1/12?

Answer

8.3333%.

Multiply the decimal 0.08333333 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 1/12 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.08333333.

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). 

Find More Fractions to Decimals

1/1 = 1	1/8 = 0.125	3/4 = 0.75	7/9 = 0.7	11/16 = 0.6875	8/9 = 0.8	7/8 = 0.875	4/5 = 0.8
1/2 = 0.5	1/9 = 0.1	2/5 = 0.4	3/10 = 0.3	15/32 = 0.4687	7/10 = 0.7	5/9 = 0.5	4/7 = 0.571
1/3 = 0.3	1/10 = 0.1	5/6 = 0.83	2/11 = 0.18	3/5 = 0.6	3/11 = 0.27	9/10 = 0.9
1/4 = 0.25	1/11 = 0.09	2/7 = 0.28571	5/11 = 0.45	3/7 = 0.428571	6/11 = 0.54	4/11 = 0.36
1/5 = 0.2	1/12 = 0.083	5/7 = 0.71428	8/11 = 0.72	6/7 = 0.85714	7/12 = 0.583	7/16 = 0.4375
1/6 = 0.16	1/16 = 0.0625	3/8 = 0.375	5/12 = 0.416	5/8 = 0.625	5/16 = 0.3125	15/16 = 0.9375
1/7 = 0.142857	2/3 = 0.6	2/9 = 0.2	3/16 = 0.1875	4/9 = 0.4	13/16 = 0.8125	19/32 = 0.5937

Such a topic may be interesting for you: What is 13/16 as a decimal fraction?