Final answer:
The equivalent fraction to the quotient of 9 divided by 2 is C. 9/2. This is because dividing by a number is the same as multiplying by its reciprocal, and in this case, 9 multiplied by 1/2 equals 9/2.
Step-by-step explanation:
The student asked which of the following products is equivalent to the quotient of 9 divided by 2. To find the equivalent fraction, we need to perform the division 9 ÷ 2, which equals 4.5. However, since we are looking for a fraction representation, the equivalent fraction is ¼² or 9/2. When we look at the given options, the correct one that matches this value is option C, 9/2.
Dividing by a number is the same as multiplying by its reciprocal. In this case, dividing by 2 is the same as multiplying by ½. So, 9 multiplied by ½ gives us the same result as 9 divided by 2. It's important to note that multiplication and division are inverse operations, meaning they undo each other and are closely related in terms of products and quotients.