Final answer:
To multiply 9 1/2 by 9 (5/2), convert the mixed number to an improper fraction. Multiply the numerators together and the denominators together. Divide the resulting fraction to get the final answer of 342/5 in simplest radical form.
Step-by-step explanation:
To multiply 9 1/2 by 9 (5/2), we first convert the mixed number 9 1/2 to an improper fraction. This becomes 19/2.
Next, we multiply the numerators together and the denominators together. So, (19/2) * (9/5/2) = (19 * 9) / (2 * 5/2).
Simplifying further, we have (171) / (5/2).
To divide a fraction, we multiply the numerator by the reciprocal of the denominator. So, (171) / (5/2) = (171) * (2/5).
Multiplying the numerators and denominators, we get 342/5. This is the final answer in simplest radical form.