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I assume you mean "repeating decimal". Yes. For example, 1/6 = 0.166666... after that, the digit "6" repeats over and over again. In other cases, it is more than one digit that repeats, over and over. Note that at first there may be other digits, that don't repeat later on.

In general, any fraction (with integers on top and bottom), if converted into a decimal, will eventually start repeating. Conversely, any repeating decimal can be converted into a fraction.

Q: Can a fraction be expressed as a repeating number?

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0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999

It is a rational number and expressed as a fraction it is 2/9

Any decimal that can't be expressed as a fraction is an irrational number

Yes, 13.'21' repeating is a rational number because it can be expressed in the form of a fraction as 436/33

Not necessarily. An irrational number is one that cannot be expressed as a simple fraction. But such numbers as one-third (rational) is also a repeating number (0.3333333r).

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Yes because it can be expressed as a fraction

2.6666...repeating is a rational number because it can be expressed as a fraction in the form of 8/3

Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number

0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999

It is a rational number because it can be expressed as a fraction

It is a rational number and expressed as a fraction it is 2/9

It is a rational number because it can be expressed as a fraction.

It is a rational number because it can also be expressed as a fraction

It is a rational number because it can also be expressed as a fraction.

It is a rational number because it can also be expressed as a fraction

No, it is a rational number, as it can be expressed as a fraction, being one third.

Because it can be expressed as a fraction in the form of 38/9