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

Responses

−359
negative 3 Start Fraction 5 over 9 End Fraction

2

1 answer

To divide \(-\frac{3}{4}\) by \(\frac{3}{8}\), you can multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{3}{8}\).

The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).

So, the calculation is:

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

Now, multiply the fractions:

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

Simplifying \(-\frac{24}{12}\):

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

Therefore, the quotient when you divide \(-\frac{3}{4}\) by \(\frac{3}{8}\) is \(-2\). The closest matching response is:

2 (interpreted as -2 or the negative of the response, depending on the options provided).