2/11 as a decimal is 0.181818...
Want to practice?
[question item="1"] [question item="2"] [question item="3"] [question item="4"]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?
