Simplify (3/10) (-5/9) what do i get?

(-1) / 6

Step-by-step explanation:

Simplify the following:

3/10 * (-5) / 9

3/10 * (-5) / 9 = (3 (-5)) / (10*9):

(3 (-5)) / (10*9)

The gcd of - 5 and 10 is 5, so (3 (-5)) / (10*9) = (3 (5 (-1))) / ((5*2) 9) = 5/5 * (3 (-1)) / (2*9) = (3 (-1)) / (2*9):

(3*-1) / (2*9)

3/9 = 3 / (3*3) = 1/3:

(-1) / (2*3)

2*3 = 6:

Answer: (-1) / 6