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You don't find the GCF of two fractions, you find the GCF of the numerator and denominator of one fraction in order to simplify it.
Example: 30/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
30 divided by 6 = 5
42 divided by 6 = 7
30/42 = 5/7
If the GCF is 1, the fraction is in its simplest form.
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What is the greatest common factor of the numerator 5 and the denominator?
We will need a value for the denominator to answer that.
What is a fraction in which the greatest common factor of the numerator and the denominator is 1 is written in what?
simplest form
How do we know the fraction is simplify?
When the GCF of the numerator and the denominator is 1.
What is the form a fraction when the numerator and the denomintor have a greatest common factor of 1 called?
simplest form
A fraction in which the greatest common factor of the numerator and the denominator is one is written in what?
simplest form or lowest terms
How can the greatest common factor help you write a fraction in simplest form?
Find the greatest common factor between the numerator and the denominator, then divide the numerator by greatest common factor and then divide denominator by greatest common factor, for a new simplified fraction.
How to simplify fractions?
Find the Greatest Common Factor of the numerator and denominator, then divide the numerator by the GCF, and that is the new numerator. Divide the denominator by the GCF, and that is the new denominator.
What should you do to find a fractions simplest form and only have to divide once?
You have to find the greatest common factor between the numerator and the denominator. Then you divide numerator and denominator by this greatest common factor. There are several methods to find the greatest common factor. Note that "dividing only once" is not necessarily to your advantage; it is easier to divide by ANY common factor you find, and then continue looking for additional factors.
How do you do simplest form?
how to find simplest form is: 1. Find the GCF of the numerator and denominator 2. Divide the numerator and denominator by the GCF
What is the expression in lowest terms?
An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.
How do you reduce a number?
first:you find the gcm(greatest common factor)wich is the lowest number that can go evenly into the numerator and the denominator. next:you devide both the numerator and the denominator by that gcm(greatest common factor)and walla!
How do you simplify a fraction with the Euclidean algorithm?
1) You use the Euclidian algorithm to find the greatest common factor between the numerator and the denominator. 2) You divide numerator and denominator by this greatest common factor. This will give you an equivalent fraction in simplest terms.
What circumstances would the greatest common factor be equal to numerator?
If the numerator was a factor of the denominator.
Why is it when you reduce fractions you need to find the greatest common factor?
The greatest common factor is the largest number that is evenly divisible by both numbers, so if you divide both numerator and denominator by GCF, the numerator and denominator will be the smallest integers possible, and still be an equivalent fraction.
How do you find the value of each expression in lowest terms?
For each expression, divide the numerator and denominator by their greatest common factor.
How do you simplify 32 over 4?
-- Find the greatest common factor of the numerator and denominator . . . it is 4 .-- Divide the numerator and denominator both by their greatest common factor (which is 4).-- The fraction 32/4 becomes 8/1 or simply 8 .Note:This method works for any fraction that needs to be simplified,but the greatest common factor will not always be 4 .
What is the circumstances that the Greatest Common Factor be equal to the numerator of a fraction before simplifying?
When the numerator is a factor of the denominator.
