Question 589965: What are the steps to reducing improper fractions? For example how do I solve 12/14?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
is NOT an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator. In other words,  is improper if and only if  . As an aside, there is nothing really "improper" about improper fractions. In Algebra and beyond, improper fractions are generally a more preferable representation of a given ratio than the equivalent mixed number.
However,  is NOT reduced to lowest terms. To reduce the given fraction to lowest terms, proceed as follows:
Perform the prime factorization of each of the numerator and denominator:
12 is even so divisible by 2, 12 divided by 2 is 6
6 is even so divisible by 2, 6 divided by 2 is 3
3 is prime
Prime factorization of 12 is 2 X 2 X 3.
14 is even so divisible by 2, 14 divided by 2 is 7
7 is prime
Prime factorization of 14 is 2 X 7
Reconstruct the fraction using the prime factorizations:
Eliminate factors common to both numerator and denominator:
Recompose as necessary:
John
My calculator said it, I believe it, that settles it
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