Question

7.C.J. says the quotient of -3/4 divided by 1/4 is - 1/3
a What is the correct quotient?
bWhat mistake did CJ likely make?
a. He multiplied the reciprocals of both fractions.
b. He added -3/4 and 1/4
c. He multiplied-3/4 by 1/4
d. He multiplied using the reciprocal of -3/4.

Answer 1

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

From the question,

We are to determine the correct quotient.

The given division operation to be carried out is -3/4 divided by 1/4

The correct quotient can be determined as shown below

$-\frac{3}{4} \div \frac{1}{4}$

Multiply $-\frac{3}{4}$ by the reciprocal of $\frac{1}{4}$

The reciprocal of $\frac{1}{4}$ is  $\frac{4}{1}$

Then, we get

$-\frac{3}{4} \times \frac{4}{1}$

This gives

$-\frac{12}{4}$

= -3

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4.

Hence, the correct quotient is -3

The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

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