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Describe how finding the greatest common factor of the numerator and denominator of a fraction can help reduce the fraction?
Wiki User
∙ 7y ago
5/7 is a fraction in its simplest form. To create an equivalent fraction it is necessary to multiply both the numerator and the denominator by the same integer. The opposite is also true. To reduce an equivalent fraction to its simplest form, it is necessary to divide both the numerator and the denominator by the same integer.
20/28 is an equivalent fraction of 5/7. It is possible to reduce 20/28 to 10/14 by dividing both the numerator and the denominator by 2, but that is not the simplest form. 10/14 can be reduced to 5/7 by dividing both the numerator and the denominator by 2 again. To ensure that an equivalent fraction is reduced to its simplest form, it is necessary to divide by the largest factor that is part of both of them. Another term for this the Greatest Common Factor, or GCF.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoDivide the numerator and denominator of the fraction by their greatest common factor. This will give the fraction in its lowest or simplified term.
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What is the form of a fraction when the greatest common factor of the numerator and the denominator is one?
When a the GCF of the numerator and denominator of a fraction is 1, the fraction is in its simplest form.
When a fraction cannot be simplified what must be true about the greatest common factor of the numerator and denominator?
It is 1.
What is the greatest common factor of any fraction in lowest terms?
1 is the greatest common factor of any fraction in lowest terms.
What is the GCF of the numerator denominator?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. When applied to a numerator and a denominator, it is a way to reduce equivalent fractions to their simplest form. The GCF of 6 and 9 is 3. If you divide 6 and 9 by 3, you get 2 and 3. 6/9 = 2/3 The GCF of 2 and 3 is 1. If the GCF of a numerator and a denominator is 1, the fraction is in its simplest form.
Why does the product of two fractions has the same value before and after dividing the numerator and denominator by the greatest common factor?
If you are dividing the numerator and the denominator by the same number (the GCF), it is the same as dividing the fraction by 1, which will leave it unchanged and create the same product.
What is the form of a fraction when the greatest common factor of the numerator and the denominator is one?
When a the GCF of the numerator and denominator of a fraction is 1, the fraction is in its simplest form.
Is a fraction with the numerator and denominator have the Greatest Common Factor of 1?
A fraction where the numerator and denominator have a GCF of 1 is said to be in its simplest form.
What is a fraction for which the greatest common denominator for the numerator and the denominator is 4?
4/4
How do we know the fraction is simplify?
When the GCF of the numerator and the denominator is 1.
When the greatest common factor of the numerator and denominator of the fraction is 1?
the fraction is in its simplest form
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 do you know if a fraction is simplified?
A fraction is considered simplified or reduced when the numerator and denominator have no common factors other than 1. In other words, there is no integer greater than 1 that divides evenly into both the numerator and the denominator. If there are common factors, the fraction can be simplified further by dividing both the numerator and denominator by their greatest common factor.
How do you put a fraction in to simplest form?
You put a fraction in simplest form by dividing the numerator and denominator by their greatest common factor. If the either the numerator or denominator is a prime number, the fraction cannot be simplified.
What is meant by reducing a fraction?
It means dividing the numerator and denominator of the fraction by their greatest common factor.
When the greatest common factor of the numerator and denominator of the fraction is 1 what is the fraction called?
simplest form
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.
What is the form of a fraction in which the numerator and denominator have only 1 as their common factor?
The fraction is said to be in its lowest terms when the greatest common factor of the numerator and denominator is 1
