Question

Sage found the following quotient. 1 1/2 ÷ 1/3 ÷ 4 1/2. Determine whether Sage found the correct quotient. Show your work.

(A) Yes
(B) No

Answer 1

The correct quotient for the expression (1 1/2 ÷ 1/3 ÷ 4 1/2) is 1, so the answer to whether Sage found the correct quotient is (B) No.

Step-by-step explanation:

To determine whether the quotient Sage found (1 1/2 ÷ 1/3 ÷ 4 1/2) is correct, we need to evaluate the expression step-by-step.

1. First, convert all mixed numbers to improper fractions. 1 1/2 becomes 3/2 and 4 1/2 becomes 9/2.
2. Write the original problem with these improper fractions: (3/2) ÷ (1/3) ÷ (9/2).
3. To divide by a fraction, you multiply by its reciprocal. So, (3/2) ÷ (1/3) becomes (3/2) × (3/1) which equals 9/2.
4. Next, we take the result and divide it by 9/2. Again, we multiply by the reciprocal: (9/2) × (2/9) which equals 1.

The correct quotient is 1. So the answer to the student's question is (B) No, Sage did not find the correct quotient.