Final answer:
To put 4 1/2 into a quotient of two integers, you need to write it as a fraction. The mixed number 4 1/2 can be written as an improper fraction, which is 9/2.Option A is the correct answer.
Step-by-step explanation:
To put 4 1/2 into a quotient of two integers, we need to write it as a fraction. The mixed number 4 1/2 can be written as an improper fraction by multiplying the whole number 4 by the denominator 2 and adding the numerator 1. So, 4 1/2 is equal to 9/2. Therefore, the correct option is a. 9/2.
To convert the mixed number 4 1/2 into a fraction, we follow the process of turning mixed numbers into improper fractions. The whole number 4 is multiplied by the denominator 2, resulting in 8. Adding the numerator 1 to this product gives us 9. The denominator remains 2. Therefore, 4 1/2 is equivalent to the improper fraction 9/2.
This conversion allows us to express the original mixed number as a quotient of two integers. The numerator represents the total number of parts (9 in this case), while the denominator indicates the size of each part (2 in this case). This fraction form provides a more flexible and precise representation, facilitating mathematical operations and comparisons involving the original mixed number.