0
Add your answer:
Earn +20 pts
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.
Can a denominator that is a prime number be simplified?
Only in improper fractions where the numerator is a multiple of the denominator.
Why is it helpful to write a number as a product of prime?
When adding or subtracting fractions with different denominators finding the prime product of each denominator helps in finding the lowest common denominator of the given fractions by their lowest common multiple.
How do you find the least common denominator of a set of unlike fractions?
To find the least common denominator of a set of unlike fractions, you first need to list the prime factors of each denominator. Then, identify the highest power of each prime factor that appears in any of the denominators. Finally, multiply these highest powers together to find the least common multiple, which will be the least common denominator for the fractions.
How do you simplify fractions using the factor tree?
To simplify fractions, it is necessary to divide the numerator and the denominator by their GCF. You can find their GCF by comparing their prime factorizations. You can find their prime factorizations through the use of factor trees.
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.
How can you tell if a fraction repeats using the denominator's prime factors?
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.
Can a denominator that is a prime number be simplified?
Only in improper fractions where the numerator is a multiple of the denominator.
What is prime factorization in fractions?
You use a factor tree, for the 2 denominators. Yes that is correct the answer on the top but it says 2 denominators. This is the real correct way To do Prime Factorization in fractions first prime factorization the numerator and then the denominator. then put the prime factorization of the numerator on top and put the prime factorization of the denominator on the bottom like fractions.
Why is it helpful to write a number as a product of prime?
When adding or subtracting fractions with different denominators finding the prime product of each denominator helps in finding the lowest common denominator of the given fractions by their lowest common multiple.
How do you find the least common denominator of a set of unlike fractions?
To find the least common denominator of a set of unlike fractions, you first need to list the prime factors of each denominator. Then, identify the highest power of each prime factor that appears in any of the denominators. Finally, multiply these highest powers together to find the least common multiple, which will be the least common denominator for the fractions.
How do you use prime factorization to subtract fractions in math?
Finding the prime factorizations of the denominators will help you find the least common denominator. Converting to equivalent fractions with like denominators will allow you to subtract them successfully.
How do you simplify fractions using the factor tree?
To simplify fractions, it is necessary to divide the numerator and the denominator by their GCF. You can find their GCF by comparing their prime factorizations. You can find their prime factorizations through the use of factor trees.
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 are terminating decimals and repeating decimal reflected in fractions?
If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.
What fractions are the simplest fractions?
The simplest fractions are those that can't be further simplified. That means: -- The fraction is in "lowest terms". -- Its numerator and denominator have no common factor except ' 1 '. -- Its numerator and denominator are both prime numbers.
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.
