What is 4/11 as a decimal?

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What is 4/11 as a decimal?

4/11 as a decimal is 0.36

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Solution

The terminating decimals are the decimal numbers with a finite number of decimal digits whereas the non-terminating decimals are the decimal numbers that have recurring digits or sequence of digits in them.

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The non-terminating decimals continue infinitely as the recurring digits follow a pattern and are repeated. The non-terminating decimals are the results of the division of some fractions.

We can take the example of the given fraction.

To carry out the long division, identify the dividend and the divisor. The numerator of the fraction is the dividend and the denominator is the divisor. Here the numerator 4 is divided by 11.

In a fraction where the numerator is less than the denominator, the value of the fraction is always less than 1, as in this fraction. In such a case, we place a decimal point in the quotient to begin the division and add a zero to 4 to make it divisible by 11.

4 over 11 as a decimal

 

We can see that the same set of numbers 3 and 6 are repeated in the quotient as the remainders we get are recurring.
Hence the answer is a non-terminating decimal 0.3636…..

In order to write this as a finite decimal value, we place a bar over the digits that are repeated.

$$\frac4{11}=0.\overline{36}$$

 

Remember

Here are some common terms you should be familiar with.

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

 

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