reduce this fraction by factoring and canceling

Question

-84/-180

Answer 1

First, factor both the numerator and denominator:
-84 = -1 * 2^2 * 3 * 7
-180 = -1 * 2^2 * 3^2 * 5

Now, cancel out the common factors between the numerator and denominator:
-84/-180 = (-1 * 2^2 * 3 * 7) / (-1 * 2^2 * 3^2 * 5)
= (7) / (3 * 5)
= 7 / 15

Therefore, the fraction -84/-180 can be reduced to 7/15.