## Based on the given expression, (x/2) / (9/(x + 5)), we can simplify it by multiplying the numerator and denominator by the reciprocal of the fraction in the denominator.

Step 1: To multiply a fraction by its reciprocal, we swap the numerator and denominator of the fraction. So the reciprocal of 9/(x + 5) is (x + 5)/9.

Step 2: Now we can rewrite the expression as (x/2) * [(x + 5)/9].

Step 3: Next, we can simplify the expression by multiplying the numerators and denominators. So (x * (x + 5))/(2 * 9) = (x(x + 5))/(18).

Therefore, the simplified expression is x(x + 5)/18.

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