To simplify this expression, we can start by canceling out common factors in the numerators and denominators:
First, let's simplify (8/9) x (-3/4):
8/9 x -3/4 = (8 x -3)/(9 x 4) = -24/36
Next, let's simplify (1/9) x (-4/5):
1/9 x -4/5 = (1 x -4)/(9 x 5) = -4/45
Finally, let's simplify (-24/36) ÷ (-4/45):
To divide by a fraction, we multiply by its reciprocal:
(-24/36) ÷ (-4/45) = (-24/36) x (45/-4)
Now, let's simplify:
(-24/36) x (45/-4) = (24/36) x (45/4) = (1/3) x (45/4)
Again, let's simplify:
(1/3) x (45/4) = 45/12 = 15/4
Therefore, (8/9) x (-3/4) ÷ (1/9) x (-4/5) ÷ (3/5) simplifies to 15/4.
(8/9) x (-3/4) divide (1/9) x (-4/5) divide (3/5)
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