1/11 as a decimal is 0.09
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In the fraction 1/11 , the number 1 is
In the fraction 1/11 , the number 11 is
What is the equivalent fraction to 1/11?
Complete the given division and fill in the blanks.
Add a decimal point to the quotient as 11 > 1 and is not divisible. By doing so we can add one 0 to the dividend to make it 10. As it can be noted that 10 is still less than 11, add another 0 to the quotient and to the dividend to make it 100.
Continue division until the remainder is repeated. Here we can see that the remainder 1 is repeated after two steps. Hence the answer is a non-terminating decimal number.
A non-terminating decimal number is a number in which one digit or a sequence of digits are repeated continuously.
To denote these values in a terminating form, we write the numbers that are repeated with a bar over them.
Here the quotient is 0.0909…… and can be written as
The division of the numerator by the denominator gives the decimal form of the fraction.
Here are some common terms you should be familiar with.
- In the fraction
, the number 1 is the dividend (our numerator)
- The number 11 is our divisor (our denominator).