Question

Sage found the following quotient- 1 ½ ÷ 1/3 = 4 ½

(a) Determine whether Sage found the correct quotient. Show your work.
(b) Write a real-world problem that could be solved using this quotient.

Answer 1

To determine whether Sage found the correct quotient, we need to solve the division problem step by step. Sage found the correct quotient. A real-world problem that could be solved using this quotient is determining how many 1/3 cup servings can be made using 1 ½ cups of a particular ingredient.

Step-by-step explanation:

To determine whether Sage found the correct quotient, we need to solve the division problem 1 ½ ÷ 1/3 step by step.

First, we need to convert the mixed number 1 ½ to an improper fraction. To do this, we multiply the whole number, which is 1, by the denominator of the fraction (2), and add the numerator (1). This gives us 3 as the new numerator. The denominator remains the same. So, 1 ½ is equivalent to the fraction 3/2.

Now, to divide the fraction 3/2 by 1/3, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. So, we have (3/2) * (3/1).

Multiplying the numerators gives us 9 and multiplying the denominators gives us 2. So, the quotient of 1 ½ ÷ 1/3 is 9/2 or 4 ½.

Therefore, Sage found the correct quotient.

A real-world problem that could be solved using this quotient is determining how many 1/3 cup servings can be made using 1 ½ cups of a particular ingredient.