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What fractions is represented by a terminating decimal?

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∙ 12y ago

Updated: 9/22/2023

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∙ 12y ago

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What is the only fraction that must be represented by a non terminating decimal?

There are infinitely many fractions which must be represented by non-terminating decimals, not just one.

What fractions are repeating or terminating decimal?

All rational fractions.

Is 3.245245245 rational?

Yes, it can be represented as a terminating decimal.

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

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.

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.

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