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Best Answer

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Repeating decimals are rational.

To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:

examples.

  • 0.333...
It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus:

0.333... = 1/3

  • 0.181818...
It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus:

0.181818.... = 2/11

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Q: Are repeating decimal irrational
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Related questions

Is 0.16 repeating irrational?

No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.


Is a repeating decimal rational or irrational?

A repeating decimal is rational.


Is the decimal form of an irrational number is a repeating decimal?

No.


Is a repeating decimal number irrational?

no


What is nonterminating and not repeating decimal?

It is an infinite non-repeating decimal which represents an irrational number.


Can a terminating decimal or a repeating decimal be an irrational number?

No, it cannot.


A repeating decimal is an irrational number?

Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.


What type of decimal is an irrational number?

An irrational number has a decimal representation that is non-terminating and non-repeating.


What is four fourtheenths as a decimal?

4/14 is equal to the irrational repeating decimal, 0.285714... it keeps repeating after that.


Is it possible to have a repeating decimal that is also irrational?

No, it is not possible.


Is every rational number a repeating decimal?

No. A rational number is any terminating numeral. A repeating decimal is irrational.


What is non terminatin repeating decimal?

A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.