What is 2/11 as a decimal?

2/11 as a decimal is 0.181818...

Want to practice?

Question 1Convert the fraction

What is 2/11 written as a decimal?

Answer

0.18181818.

Divide 2 by 11.

Question 2Check with multiplication

How can you check the decimal value of 2/11?

Answer

Multiply 0.18181818 by 11; the result is 2.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 2/11?

Answer

18.1818%.

Multiply the decimal 0.18181818 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 2/11 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.18181818.

A fraction is represented by the numerator and denominator separated by a line.

The line in a fraction represents the division of two numbers $$(\div)$$.

The division of the numbers of a fraction is called the converting of the fraction to its decimal form.

Solution

Let us find the decimal form of the fraction by dividing 2 by 11.

• It can be seen that 2 is not divisible by 11 as 11 > 2. To continue the division, place a decimal point in the quotient and add a zero to the dividend to make it 20.
• Find the number of times 11 can divide 20 and write it below 20. Subtract to get the remainder.
• Add a zero to the remainder to make it divisible by 11.
• By repeating the steps you will get the remainder 2. After this, we stop the division because the same numbers are going to be repeated.

We will get a quotient of 0.181818……….

This is called a repeating decimal. This is a decimal in which the decimal digits repeat themselves in a sequence.

Here we can see that the digits 1 and 8 are repeated. To show the repeating digits in decimal, we place a bar over the digits.
The answer is written as $$0.\overline{18}$$.

Answer: $$\frac2{11}=0.\overline{18}$$

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac2{11}$$, the number 4 is the dividend (our numerator)
• The number 9 is our divisor (our denominator). 

Such a topic may be interesting for you: What is 1/2 as a decimal fraction?

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