What is the quotient when you divide −3/4

Question

by 3/8
?(1 point)
Responses

−932
negative Start Fraction 9 over 32 End Fraction

2
2

−359
negative 3 Start Fraction 5 over 9 End Fraction

−2

Answer 1

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So, to divide \( -\frac{3}{4} \) by \( \frac{3}{8} \):

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

Now, multiply the numerators and the denominators:

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

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

\[ = -2 \]

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

The correct response is:

−2