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 \(-\frac{3}{4}\) 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 \(-\frac{24}{12}\):

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

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

The answer is \(-2\).