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How are fractions are related to repeating decimals and terminating decimals?

Anonymous

∙ 11y ago

Updated: 9/22/2023

If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.

Wiki User

∙ 11y ago

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Q: How are fractions are related to repeating decimals and terminating decimals?

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How fractions are related to repeating decimals and terminating decimals?

All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.

How is a decimal and fraction related?

They are related because you can comvert decimals into fractions,and fractions into decimals.

How is fraction related to decimal?

They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.

How are fractions and decimals closely related?

They are two methods of defining part or parts of a whole.

How are ratios and fractions related?

fraction and decimals are both have similarities because they both express part of a whole.

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