fully reduce the fraction.

the quantity 14x/196x

To fully reduce the fraction 14x/196x, we need to find the greatest common factor (GCF) of the two terms in the fraction.

The GCF of 14 and 196 is 14 because 14 is the largest number that can evenly divide both 14 and 196.

The GCF of x and x is x.

Now, we can reduce the fraction by dividing both the numerator and denominator by the GCF:

(14x)/(196x) = (14/14) * (x/x) / (196/14) * (x/x)
= 1 * 1 / 14 * 1
= 1/14

So, the fully reduced fraction of 14x/196x is 1/14.