simplest form of 8 upon 21
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Answer:
Simplifying 8/21 explained
Each fraction can be reduced to it’s simplest form, in which the numerator and denominator are as small as possible. To simplify a fraction you have to find the greatest common factor (GCF) of the numerator and denominator. A common factor is a number through which both numerator and denominator can be divided. By dividing both numerator and denominator by the GCF, your fraction is reduced to it's simplest form.
Often you can find the GCF by trial and error. But there is also a method to find the GCF. Therefore we use use prime numbers. A prime number is a number that is divisible only by itself and 1:
The list of prime numbers is infinite: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47, 53, etc.
In order to simplify 8/21 we write both numerator and denominator as a product of only prime numbers (each number can be written as a product of only prime numbers). This method is called prime factorization:
8=2 x 2 x 2=2 x 2 x 2=821213 x 73 x 7
The GCF is the product of the common primes (crossed out above) in the numerator and denominator
Answer:
see this attachment
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