Simplifying a ratio of factored polynomials: Linear factors

Question

Simplify.
You may leave the numerator and denominator of your answer in factored form.

9(3y+4)(y-4)/45(3y+4)(y-4)

Answer 1

The 9 and 45 in the numerator and denominator can cancel out, leaving:

(3y+4)(y-4) / 5(3y+4)(y-4)

Now, we can cancel out the common factors (3y+4) and (y-4) in the numerator and denominator:

1 / 5

Therefore, the simplified ratio is 1/5.