Q: Can every rational fraction be written as a repeating decimal?

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Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.

Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...

They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.

1.63333333(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Related questions

Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.

Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...

Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.

no: the decimal is not repeating or terminating and therefore cannot be written as a fraction, which is one of the two requirements to be a rational number.

For a number to be rational you need to be able to write it as a fraction. To answer your question, it must repeat as a decimal or else terminate which can be thought of as repeating zeroes. Further, every repeating decimal can be written as a fraction and you can find the fraction by using the formula for the sum of an infinite geometric series.

The decimal representation of a rational number.

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.

They can. And if you include repeating 0s and repeating 9s, then all rational numbers can be written with infinitely long repeating digits.

It is a number which can be written as the ratio, p/q of two integers where q > 0.

-2.24224222422224222224(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

-0.29929292929(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

6.66666(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.