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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.
