Factor the numerator and denominator, and then cancel any common factors.
Divide the percentage by 100. Then reduce to its simplest form (cancel out any common factors between the numerator and the denominator).
In order to multiply fractions with variables, factor all numerators and denominators completely. Use the rules for multiplying and dividing fractions, cancel any common factors, and leave your final answer in factored form.
Factors are integers. Any integer can become a fraction by writing it over 1.
Factors and common factors refer to integers, not fractions. The least common factor of any set of positive integers is 1.
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.
You would find the factors of each and cancel any they have in common. But 15 and sixteen do not have common factors, therefore 15 over 16 is already in lowest terms.
To work out the simplest form of 100/1000, you merely cancel out the zeroes. 100/1000 = 100/1000. Note that it is 1/10, not 1/1 as you can only cancel out two of the three zeroes in 1000 as there are only two in 100. ============================================== This method doesn't work with fractions that don't have a lot of zeros above and below. A much better way of explaining the process is: Divide the numerator and denominator of the fraction by any common factors they have. That's why you learn common factors before you get heavily into fractions. In the example above, the common factor of the numerator and denominator is 100 .
The least common factor of any set of positive integers is 1. Fractions don't have factors.
The hcf is useful in reducing fractions to their lowest terms and the lcm is useful in finding the lowest common denominator of fractions that have different denominators that need to be added or subtracted.
When investigating the prime factors of any number, you would not encounter any fractions.
The concept of common factors applies only to numbers that are integers. In the context of fractions any number is divisible by any other [non-zero] number.