Answer:
Step-by-step explanation:
To simplify the expression 4.5 / (8 / (y/2) - (y - 2)), we can start by simplifying the denominator.
The denominator is (8 / (y/2) - (y - 2)). To simplify this expression, we can first simplify the term (y/2).
The term (y/2) can be simplified as 2y / 2, which equals y.
So, the denominator becomes (8 / y - (y - 2)).
Next, we can simplify the numerator, which is 4.5.
Now, we can rewrite the expression as 4.5 / (8 / y - (y - 2)).
To simplify further, we can apply the distributive property to the denominator.
The denominator becomes 8 / y - y + 2.
Now, we can rewrite the expression as 4.5 / (8 / y - y + 2).
To simplify the expression further, we can find a common denominator for the terms in the denominator.
The common denominator for y and 2 is 2y.
So, the expression becomes 4.5 / (8 / y - y + 2 * (y / 2)).
Simplifying further, we get 4.5 / (8 / y - y + y).
The expression becomes 4.5 / (8 / y).
Finally, we can simplify the expression by multiplying the numerator and denominator by y.
The expression becomes (4.5 * y) / 8.
Therefore, the simplified expression is (4.5y) / 8.