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

Question

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

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 numerators and the denominators:

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

Now simplify:

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

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

The correct response is \(\text{negative } 2\).