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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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BlakeFractions are related to repeating decimals in the sense that a fraction can be represented as a repeating decimal if the denominator has prime factors other than 2 or 5. For example, 1/3 can be represented as 0.3333..., with the 3s repeating infinitely. Terminating decimals, on the other hand, are fractions that have denominators which are powers of 10. For example, 1/4 can be represented as 0.25, which terminates after two decimal places.
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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 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.
