Question

After completing the fraction division 7/3 / 2/9 , Bai used the multiplication below to check his work. 21/2 * 2/9 = 42/18 = 7/3 Which is the most accurate description of Bai's work? A. Bai found the correct quotient and checked his work using multiplication correctly. B. Bai found the correct quotient but checked his work using multiplication incorrectly. C. Bai found an incorrect quotient but checked his work using multiplication correctly. D. Bai found an incorrect quotient and checked his work using multiplication incorrectly.

Answer 1

Bai correctly divided the fraction 7/3 by 2/9 and then accurately used multiplication as a method to check this division. The multiplication of the quotient by the divisor resulted in the original dividend, confirming the correct quotient was found.

Step-by-step explanation:

The student, Bai, is working on a division problem involving fractions and wants to ensure the quotient is correct by using multiplication to check the result. After dividing the fraction 7/3 by 2/9, Bai attempts to verify the solution by performing the multiplication 21/2 * 2/9. To check the work accurately, Bai should have taken the result of the division, which is the quotient, and multiplied by the divisor, 2/9, to see if the product equals the dividend, 7/3.

To evaluate Bai's work:

1. First, calculate the correct result of 7/3 / 2/9.
2. Next, determine if Bai's multiplication check produces the original dividend, 7/3.

Bai’s multiplication should have resulted in the original fraction, 7/3, if done correctly. Since Bai's multiplication was 21/2 * 2/9 = 42/18 = 7/3, the multiplication check was carried out correctly. Therefore, Bai found the correct quotient and also used multiplication correctly to check his work.