Final answer:
To evaluate the expression (1/3x)/(y/z) when x = 5, y = -3, and z = -2, substitute the given values into the expression, calculate the numerator and the denominator separately, and then divide the values.
Step-by-step explanation:
To evaluate the expression (1/3x)/(y/z) when x = 5, y = -3, and z = -2, we need to substitute the values of x, y, and z into the expression.
First, we substitute x = 5, y = -3, and z = -2 into the numerator: (1/3(5)) = 1/15.
Then, we substitute x = 5, y = -3, and z = -2 into the denominator: (-3)/(-2) = 3/2.
Now, we divide the numerator (1/15) by the denominator (3/2): (1/15) ÷ (3/2) = (1/15) × (2/3) = 2/45.