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

Question

Responses

−9/32

2
-2

−3 5/9

Answer 1

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

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

Now, multiply the fractions:

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

Now simplify \(-\frac{24}{12}\):

\[ -\frac{24}{12} = -2 \]

Therefore, the quotient is \(-2\).