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# Can every rational fraction be written as a repeating decimal?

Updated: 9/18/2023

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13y ago

Any rational number is either a repeating decimal, or a terminating decimal.

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13y ago

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Q: Can every rational fraction be written as a repeating decimal?
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### What are facts about rational numbers?

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

### Can a rational number be 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...

### How can a decimal be a rational number-?

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.

### Is the square root of 51 a rational number?

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.

### Does all the numbers have to repeat in order 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.

### A decimal that can be written into a fraction is called?

The decimal representation of a rational number.

### Is a decimal form of an irrational number a repeating decimal?

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.

### Do rational numbers have a repeating decimal?

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

### A rational number is a number that can be written as a?

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

### Is -2.24224222422224222224 rational?

-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.

### Is -0.29929292929 rational?

-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.

### Is 6.66666 rational?

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.