What is 1/6 as a decimal?

1/6 as a decimal is 0.16666...

Want to practice?

Question 1Convert the fraction

What is 1/6 written as a decimal?

Answer

0.16666667.

Divide 1 by 6.

Question 2Check with multiplication

How can you check the decimal value of 1/6?

Answer

Multiply 0.16666667 by 6; the result is 1.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 1/6?

Answer

16.6667%.

Multiply the decimal 0.16666667 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 1/6 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.16666667.

Fractions are used to denote values other than whole numbers. A fraction has two parts separated by a line. The number in the top is called the numerator and the number at the bottom is called the denominator.

The numerator is the number of parts that are represented and the denominator is the number of parts in the whole.

$$\frac{\mathbf1}{\mathbf5}\boldsymbol,\frac{\mathbf2}{\mathbf7}$$

Fractions can also be denoted as decimals.

The long division method is used to convert the fraction to its decimal form.

In this method, we use the numerator as the dividend and the denominator as the divisor.

We can see that the number 1 is not divisible by 6. Hence we can add a decimal point to the quotient and add 0 to the dividend to make it divisible.

We can see that the same remainder 6 is repeated after the first step. Stop the division as the digits in the quotient are repeated.

The answer to the fraction $$\frac16$$ is 0.16666…

To make the answer into a terminating decimal form we write the number with a bar over the digits that are repeated.

0.16666…. is written as $$0.1\overline6$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac16$$, the number 1 is the dividend (our numerator)
• The number 6 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

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