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Why does the product of two fractions has the same value before and after dividing the numerator and denominator by the greatest common factor?
Wiki User
∙ 7y ago
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.
Wiki User
∙ 7y ago
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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
Describe how finding the greatest common factor of the numerator and denominator of a fraction can help reduce the fraction?
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.
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.
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.
When a fraction cannot be simplified what must be true about the greatest common factor of the numerator and denominator?
It is 1.
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.
Explain why dividing the numerator and denominator of a fraction by the greatest common factor is the most efficient way of simplfying the fraction?
By dividing both the numerator and denominator by the same number is like dividing by 1.
When numerator the same list fractions from list to greatest?
If the numerator is the same, the fraction with the largest denominator has the lowest value (assuming all fractions are positive numbers).
What is meant by reducing a fraction?
It means dividing the numerator and denominator of the fraction by their greatest common factor.
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 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.
How do you divide to find an equivalent fraction?
Divide the numerator and the denominator by their greatest common factor to reduce to its lowest equivalent fraction. For example, 169/260=13/20 after dividing the numerator and the denominator by 13.
What is simplifying a fraction to simplest form?
Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.
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 put16 out of 24 in simplest form?
16/24 = 2/3 by dividing the numerator and denominator by the greatest common factor which is 8
How can you simplified 171 over 60?
171/60 = 57/20 by dividing the numerator and the denominator by 3 which is their greatest common factor
How do you change higher term to lower term?
When reducing fractions to their lowest terms divide the numerator and denominator by their greatest common factor
