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When a fraction cannot be simplified what must be true about the greatest common factor of the numerator and denominator?
Wiki User
∙ 6y ago
It is 1.
Wiki User
∙ 6y ago
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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.
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 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.
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.
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.
What is 3 fifteenths as a simplified fraction?
3 fifteenths as a simplified fraction is 1 fifth. All you have to do is divide the numerator and the denominator by the greatest common factor.
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.
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 to do in simplifying proper fractions?
Find the Greatest Common Factor (GCF) between the numerator and denominator, then divide the numerator by GCF and denominator by GCF to get the new numerator and denominator. If the GCF is 1, then the fraction is already simplified. Example: 6/9 --> The GCF is 3, so 6/3= 2 and 9/3 =3, so the new simplified fraction is 2/3.
How can you write 3.2 as a fraction?
To write 3.2 as a fraction, we can convert it to its equivalent fraction form by multiplying both the numerator and denominator by 10. This gives us 32/10. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, we get the simplified fraction 16/5.
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.
How do you change 65 percent to a fraction?
When you change a percentage to a fraction the denominator (bottom number) of the fraction will always be 100. The percentage will be the numerator (top number), so 65% as a fraction is 65/100. This can then be simplified by dividing both the numerator and denominator by their greatest common factor, which is 5. The final answer is 13/20.
