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If you divide by the GCF, you will only have to do it once to produce the simplest form.

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โˆ™ 2017-02-04 04:52:32
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Anonymous

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โˆ™ 2020-05-11 23:01:37

It is easier to divide the numerator and denominator by the GCF rather than any other factors because it produces the simplest form.

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Q: Why is it easier to divide the numerator and denominator by the greatest common factor rather than any other factor?
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Related questions

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.


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 you do a fraction into simple form?

Divide both numerator and denominator by their greatest common factor.


How do you reduce the fraction to its lowest term with the greatest common factor?

you only need is to divide the numerator and denominator by your greatest common factor.


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


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 the fastest way to simplify a fraction?

Divide both the numerator and the denominator by their greatest common factor.


How do you reduce the fraction to simplest form?

Find a greatest common factor and divide it into the numerator and the 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 write the ratio as a fraction in simplest form?

Divide the numerator and denominator of the fraction by their greatest common factor.


How do you convert a fraction to a decmial?

You divide the numerator by the denominator.You divide the numerator by the denominator.You divide the numerator by the denominator.You divide the numerator by the denominator.


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.


How do you turn a proper fraction into a decimal?

You divide the numerator by the denominator.You divide the numerator by the denominator.You divide the numerator by the denominator.You divide the numerator by the denominator.


How do you reduce to lowest terms of 5 divided by 255?

0.0196


How do you simplify a fraction?

To simplify a fraction, the numerator and denominator must both be divisible by the same number (factor).Divide the numerator and the denominator by their GCF (greatest common factor). For example, to simplify the fraction 14/49, divide the numerator and the denominator by 7 to obtain the simplified fraction 2/7.In the simplest form of a fraction, the numerator and denominator are relatively prime or co-prime, i.e. they have no common prime factors, their GCF is 1.


How do you convert a fraction to simplest form?

Divide numerator and denominator by their greatest common factor.


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 can you simplify 130 over 400?

You look for common factors in the numerator and the denominator, then divide both the numerator and the denominator by that common factor.


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.


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 reduce 20 over 40 lowest fraction?

Divide the numerator and the denominator by their greatest common factor. In this case, that is 20.


How do you solve simplify fractions?

You search for common factors in the numerator and the denominator. Then you divide numerator and denominator by this common fraction. For example, in the fraction 9/12, the common factor is 3. If you divide numerator and denominator (top and bottom) by 3, you get 3/4, which is an equivalent fraction.


how to write a fraction in lowest terms?

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 find a fraction in simplest form?

You check whether the numerator and the denominator have a common factor. If they do, divide both the numerator and the denominator by this common factor. Continue until there are no more common factors. The greatest common factor can be found by prime factorization; for larger numbers, Euclid's algorithm is much more efficient.


How do you divide the numerator by denominator without a calculator?

First, you have to divide the numerator and then you have to divide the denominator.