Use the property of operation and rules for multiplying and dividing to solve

(8/9) x (-3/4) ÷(1/9) ×(-4/5)÷(3/5)

1 answer

To solve the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we can simplify the expression step by step using the properties of operations and rules for multiplying and dividing fractions.

First, let's simplify the multiplication and division from left to right:

(8/9) x (-3/4) = -24/36

Now, let's simplify the division:

-24/36 ÷ (1/9) = -24/36 x 9/1 = -24/4 = -6

Next, let's continue with the remaining division:

-6 × (-4/5) = 24/5

Finally, multiply by (3/5):

24/5 x 3/5 = 72/25

Therefore, the solution to the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is 72/25.