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How does finding the GCF of the numerator and denominator of a fraction help reduce the fraction?
SelFan1
Example: 6/8
If you know that the GCF of 6 and 8 is 2, you can divide 6 and 8 by 2 and get 3/4
Wiki User
∙ 11y ago
Wiki User
∙ 11y agoExample: 6/8
Factor them.
2 x 3 = 6
2 x 2 x 2 = 8
Select the common factor.
The GCF of 6 and 8 is 2.
Divide 2 into 6 and 8
6/8 = 3/4
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What is a fraction that has no common factors in the numerator or the denominator?
If the numerator and denominator are prime numbers and not equal then they don't have common factors (except 1 which would be a common factor even if the numerator and denominator were prime numbers).
How do you reduce and to lowest term the answer?
To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor as for example 12/16 = 3/4
What do you do when you divide both the numerator and the denominator of a fraction by the same number in order to reduce the fraction to its lowest term?
You find the largest number that will go into each and divide each by that number.
What is the greatest common factor of the numerator and the denominator?
Numerators and denominators are whole numbers; taking their GCF helps to reduce a fraction to its simplest form. In the fraction 3/9, the GCF of 3 and 9 is 3. Dividing both numbers by 3 results in 1/3, the simplest form of 3/9.
How can you use the greatest common factor to find the simplest form?
To simplify or reduce an improper fraction, you can divide the numerator and denominator by the greatest common factor of both numbers. For example, if you are given the fraction 36/60; the common factors of the numerator (36) are 2, 3, 4, 6, 9, 12, and 18. The common factors of the denominator are 2, 3, 5, 6, 10, 12, and 20. We can see that 12 is the largest common factor between the numerator and denominator. Divide the numerator and denominator by 12: 36 / 12 = 3, and 60 / 12 = 5. We see that the fraction reduces to 3/5.
How do you you reduce a fraction with a negative number as a numerator?
To reduce a fraction with a negative number as a numerator, you can first simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. Then, divide both the numerator and denominator by their GCD and the negative sign remains unchanged. This will result in a reduced fraction with a negative numerator.
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.
How do you know if you should reduce a fraction or not?
You should reduce a fraction if the numerator and denominator have any common factor greater than one.
How do you reduce if the fraction are not divisible?
If the highest common factor of its numerator and denominator is 1 then the fraction is in its simplified form.
How do you mutiply a fraction?
Multiply the numerator of one fraction to the other then multiply the denominator of one fraction to the other . Then reduce if possible.
How can you tell that a fraction is in its simplest form?
When you can no longer reduce the numerator and denominator by the same number.
The first step in reducing a rational expression is to do what to both the numerator and denominator?
To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor
What is a fraction that has no common factors in the numerator or the denominator?
If the numerator and denominator are prime numbers and not equal then they don't have common factors (except 1 which would be a common factor even if the numerator and denominator were prime numbers).
How do you get simplist forms?
To reduce a fraction to its simplest form, find the GCF of the numerator and the denominator. If that number is greater than 1, divide it into both the numerator and denominator. If the GCF is 1, the fraction is in its simplest form.
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.
How do you reduce fractions using the GCF?
You divide the numerator (top) by the GCF to give you the numerator for the reduced fraction. You divide the denominator (bottom) by the GCF to give you the denominator of the reduced fraction. DONE! For example, 27/45 GCF(27, 45) = 9 Numerator of reduced fraction = 27/9 = 3 Denominator of reduced fraction = 45/9 = 5 So reduced fraction = 3/5
How can you make an in proper fraction into m a mixed number?
Divide the denominator into the numerator. The number of times it goes, is the whole number. The remainder is the new numerator and the denominator stays the same unless you need to reduce the fraction.
