What is 1/8 as a decimal?

1/8 as a decimal is 0.125

Watch Video Instructions

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Practice

Question 1Convert the fraction

What is 1/8 written as a decimal?

Answer

0.125.

Divide 1 by 8.

Question 2Check with multiplication

How can you check the decimal value of 1/8?

Answer

Multiply 0.125 by 8; the result is 1.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 1/8?

Answer

12.5%.

Multiply the decimal 0.125 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 1/8 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.125.

Solution

Observe the fraction and compare the denominators.

The given fraction is converted to its equivalent fraction before being changed to the decimal form.

Equivalent fractions are the fractions made of factors of the numerator and the denominator. The equivalent fractions are fractions that have different numerator and denominator values but simplify to the same fraction.

To find the equivalent fraction of a given fraction, any non-zero number can be multiplied by the numerator and the denominator to get an equivalent fraction.

The concept of the equivalent fraction is also used to change the fractions to their decimal form.

Here the denominator 8 is converted to 1000 in its equivalent fraction.

Find the value that when multiplied to 8 gives 1000. We can see that 125 is multiplied to 8 to get 1000. As the same number that is multiplied by the denominator should be multiplied by the numerator, multiply 1 by 125.

$$\frac{\mathbf1\boldsymbol\times\mathbf{125}}{\mathbf8\boldsymbol\times\mathbf{125}}\boldsymbol=\frac{\mathbf{125}}{\mathbf{1000}}$$

If a fraction has a denominator that can be converted to values like 10, 100, 1000, and so on, we can directly convert them to the corresponding decimal.

$$\frac{\mathbf{125}}{\mathbf{1000}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{125}$$
As there are three zeros in the denominator, move the decimal point 3 digits to the left to write the answer.

Remember

Here are some common terms you should be familiar with.

• In the fraction  $$\frac18$$, the number 1 is the dividend (our numerator)
• The number 8 is our divisor (our denominator). 

We invite you to read other articles on decimal and fraction, on our blog, to find out how converting fraction to decimal.

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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