Question

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

−9/32
negative Start Fraction 9 over 32 End Fraction

−3 5/9
negative 3 Start Fraction 5 over 9 End Fraction

−2
negative 2

2
2

Answer 1

To divide fractions, you multiply by the reciprocal of the divisor.

So, to divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), we can rewrite it as:

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

Now, we can multiply the fractions:

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

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

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

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

The correct response is:

**−2**