Question

After completing the fraction division 8 divided by 1/6, Patel used the multiplication below to check his work. 1/48 x 6 = 1/48 x 6/1 = 6/48 = 1/8 which is the most accurate description of patels work? A. Patel found the correct quotient and checked his work using multiplication correctly. B. Patel found the correct quotient but checked his work using multiplication incorrectly. C. Patel found an incorrect quotient but checked his work using multiplication correctly. D. Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answer 1

Answer:

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

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Answer 2

Answer:

D. Patel found the incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

The dividend is $8,$ the divisor is $\dfrac{1}{6}.$ Divide the dividend by the divisor (division by fraction means multiplication by its reciprocal):

$8\div \dfrac{1}{6}=8\times \dfrac{6}{1}=8\times 6=48,$

so the quotient is 48, not $\dfrac{1}{48}.$

To check the answer, Patel has to multiply the quotient by the divisor to get the dividend. Check answer:

$48\times \dfrac{1}{6}=\dfrac{48}{6}=8$

Hence, Patel found the incorrect quotient and checked his work using multiplication incorrectly.