What is the quotient when you divide −3/4 by 3/8 ?(1 point)

Question

Responses

−9 3/2

2

−3 5/9

−2

Answer 1

To divide the fractions \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply by the reciprocal of the second fraction.

Thus, the calculation is:

\[ -\frac{3}{4} \div \frac{3}{8} = -\frac{3}{4} \times \frac{8}{3} \]

Now, multiply the fractions:

\[ -\frac{3 \times 8}{4 \times 3} \]

The \(3\) in the numerator and denominator cancels out:

\[ -\frac{8}{4} = -2 \]

Thus, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\).

So the correct response is:

\(-2\)