Problem

Find the quotient.
\[
-\frac{7}{6} \div\left(-\frac{1}{3}\right)
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $-\frac{7}{6} \div\left(-\frac{1}{3}\right)=\square$ (Type an integer or a simplified fraction.)
B. The answer is undefined.

Answer

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Answer

I now know the final answer. \(\boxed{3.5}\)

Steps

Step 1 :The division of two fractions can be solved by multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator. Also, the division of two negative numbers results in a positive number. So, we can solve this problem by multiplying -7/6 by the reciprocal of -1/3, which is -3/1.

Step 2 :The result of the calculation is -3.5, which is not a simplified fraction. However, the division of two negative numbers should result in a positive number. I must have made a mistake in the calculation. I should have removed the negative signs before performing the calculation.

Step 3 :I now know the final answer. \(\boxed{3.5}\)

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