They always have a numerator but, if they are integers, the may not have a denominator.
If the GCF of the numerator and the denominator is 1, the fraction is in its simplest form.
You are both raising the factors or numerator and denominator
Knowing factors will help you find a GCF. To simplify a fraction, divide the numerator and the denominator by their GCF.
You look for common factors, and divide both numerator and denominator by the same factor. For example, 9/12 has the common factor 3, if you divide numerator and denominator by 3, you get 3/4.
then that is your simplest formIt is an irreducible fraction or one in its lowest or simplest form.A fraction that is reduced to lowest terms.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.
You look for common factors in the numerator and the denominator, then divide both the numerator and the denominator by that common factor.
The numerator and denominator of fractions are just whole numbers and have factors like any other number. Factor them as you would any regular whole number.
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.
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 the denominator have no common factors other than one, the fraction is already in its simplest form.
Here is an example. The fraction to simplify is 6/12. See if there is a common factor between the numerator and the denominator. In this case, 3 happens to be a common factor. Divide numerator and denominator by 3. The result is 2/4. See if there are more common factors, and repeat. Dividing numerator and denominator by 2, you get 1/2. You could also have divided numerator and denominator of the original fraction by 6, with the same final result - but sometimes it is easier to do it in parts.
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).
Sometimes it can, and sometimes it can't. For example: 7/9 can not be reduced - there are no common factors. 9/15 can be reduced - the common factor is 3.
Where the numerator and denominator have no further common factors
1 and 2
3/35 is the simplest form. Why? Numerator factors: 3. Denominator factors: 5 and 7. None of the numerator and denominator factors are the same and therefore cannot cancel each other out.
That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.