Final answer:
To solve the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow the properties of operations and rules for multiplying and dividing fractions. The result of the expression is -8/15.
Step-by-step explanation:
To solve the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow the properties of operations and rules for multiplying and dividing fractions.
First, let's multiply the numerators together: ((8×(−3))×(−4)) = -96.
Next, let's multiply the denominators together: ((9×4)×(1×5)) = 180.
Now, let's divide the numerator by the denominator: -96 ÷ 180 = -8/15.
Therefore, the result of the expression is -8/15.