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First reduce the fraction to its simplest form. If the denominator has any prime factor other than 2 or 5 then it is a repeating decimal. Otherwise it terminates.

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Q: How can you tell if a fraction repeats using the denominator's prime factors?
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Related questions

How can you tell when a fraction with prime denominator terminates and when it repeats?

If the denominator is 2 or 5 it terminates. Otherwise it repeats.


What are the prime factors of the denominators that terminate?

The only possible prime factors are 2 and 5. But the denominator can, of course, be 1.


What can you conclude about rational numbers that have terminating decimals?

Their denominators have prime factors of 2 or 5.


What is the prime fraction of 99?

The prime factors of 99 are 3 and 11


How can you predict whether a fraction will terminate?

if the denominators only prime factor is a 2 and 5 (if it has any) the decimal will terminate otherwise it wont.


What are the properties of terminating decimal?

They are rational number which, in their simplest form have denominators whose only prime factors are 2 or 5.


What is a number with two factors called?

a number with only 2 factors (1 and itself ) is called a prime number


How do you simplify fractions using prime numbers?

To simplify a fraction using prime numbers, find the prime factors of both the numerator and denominator. Then, divide the numerator and denominator by their common prime factors. Repeat this process until there are no common prime factors left. The resulting fraction will be simplified to its simplest form.


How do you know if a fraction is in its simplest form in your head?

If it has no prime factors in common. The prime factors of 16 are all twos and the prime factors of 27 are all threes. 16/27 has to be in simplest form.


How can you use prime factorization to write a fraction in simplest form?

The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.


Are prime factors the easiest way to reduce fractions and find whether a fraction is in its simplest form and to find the lowest common denominator of two or more denominators?

Yes that is the most effective approach in reducing fractions and finding their lowest common denominator.


What is the prime fraction of 27878400?

As a product of its prime factors in exponents: 210*32*52*112 = 27878400