What is the quotient when you divide −3/4

Question

by 3/8
?(1 point)
Responses

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

2
2

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

−2

Answer 1

To find the quotient when dividing \(-\frac{3}{4}\) 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:

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

The \(3\) in the numerator and denominator cancels out:

\[ =-\frac{8}{4} \]

Now, simplify \(-\frac{8}{4}\):

\[ =-2 \]

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

So, the correct answer is:

\(-2\)