Question

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

2

−2

−9 3/2

−3 5/9

Answer 1

To find the quotient when dividing \(-\frac{3}{4}\) by \(\frac{3}{8}\), we can multiply by the reciprocal of the second fraction.

The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).

Now perform the multiplication:

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

Next, we can multiply the numerators and the denominators:

\[
= -\frac{3 \times 8}{4 \times 3} = -\frac{24}{12} = -2
\]

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

The correct response is:

**−2**