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Everything has something in common, even if it's just one. When the numerator and the denominator have a GCF of 1, the fraction is said to be in its simplest form.

Q: When the numerator and denominator of a faction have no factors in common?

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The the fraction is in its lowest terms

Yes. If the numerator and denominator of a fraction are prime, the fraction is in simplest form. The reason is that each number has only two factors, 1 and the number itself. For that reason, it is not possible for the numerator and denominator to have any factors (other than 1) in common.

Numerators and denominators are just numbers. List the factors of each and circle the numbers that appear on both lists. These are common factors.

simplest form

simplest form or lowest terms

Related questions

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

If the numerator and denominator of a fraction have a common factor (except for '1'), divide both numerator and denominator by their common factor. The fraction is in the simplest form when the numerator and denominator have no common factors.

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).

If a fraction's numerator and denominator have no factors other than one in common, the fraction cannot be simplified except if the denominator is 1, in which case the fraction can be simplified to the whole number of the numerator.

1 and 2

Where the numerator and denominator have no further common factors

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.

Fractions can be simplified when the numerator and denominator have a common factor in them. If both the numerator and denominator have common factors, then we can cancel these factors out. So the simplest for of 18/56 is 9/28.

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.

If the numerator and the denominator have no common factors other than one, the fraction is already in its simplest form.

yes

A fraction can be simplified if the numerator and denominator have any common factors. In this case, the factors of the numerator (16) are 2x2x2x2. The factors of the denominator (63) are 3x3x7. There are no common factors. Therefore, the fraction 16/63 is already in its simplest form and cannot be reduced.