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.
7 & 11 have no common factor: both are prime.
Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.
You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.
To simplify fractions, look for common factors - factors that are shared by both numbers, in this case, 4 and 8. If you find one, divide both numbers by the common factor. Repeat, until there are no more common factors.
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.
They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.
7 & 11 have no common factor: both are prime.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.
It is called simplification [by cancelling common factors].
You multiply out brackets, remove common factors from fractions, combine like terms.
You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.You can't simplify that. There are no common factors.
Finding the GCF will help you when you are trying to reduce fractions.
To simplify fractions.
To simplify fractions, look for common factors - factors that are shared by both numbers, in this case, 4 and 8. If you find one, divide both numbers by the common factor. Repeat, until there are no more common factors.
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.
You may have answered your own question. Equivalent fractions have common factors. If they don't have common factors, they aren't equivalent.