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What is a number with two factors called?
a number with only 2 factors (1 and itself ) is called a prime number
If the numerator and denominator of a fraction are prime numbers is the fraction in simplest form and why?
Yes. If the numerator and denominator of a fraction are prime, the fraction is in simplest form. The reason is that each number has only two factors, 1 and the number itself. For that reason, it is not possible for the numerator and denominator to have any factors (other than 1) in common.
The LCD for the fractions 13 34 532 and 89 is?
The LCD is the LCM of all the denominators. The LCM of 13, 34, 532, and 89 is 10,463,908, which is the multiple of the highest power of prime factors from all of the given denominators (22 x 7 x 13 x 17 x 19 x 89 = 10463908). Prime factors of the denominators: 13=13; 34=2 x 17; 532 = 22 x 7 x 19; 89 = 89
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.
If the numerator of a fraction is a prime number can the fraction be simplified?
If the numerator of a fraction is a prime number, then the fraction cannot be simplified any further if the denominator is not a factor of the numerator. This is because a prime number has only two factors: 1 and itself. Therefore, the fraction is already in its simplest form.
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 should you do To find LCD by prime numbers you should?
To find the least common denominator (LCD) using prime factorization, start by breaking down each denominator into its prime factors. Then, identify the unique prime factors across all denominators, taking the highest power of each prime factor. Multiply these together to get the LCD. This method ensures that the LCD is the smallest number that can be evenly divided by all the original denominators.
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
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.
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 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.
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.
