What is the quotient when you divide −7/8

Question

by −1/5
?(1 point)
Responses

4 3/8
4 and 3 eighths - no response given

−4 3/8
negative 4 and 3 eighths - no response given

5 5/7
5 and 5 sevenths - incorrect

7/40

Answer 1

To divide \(-\frac{7}{8}\) by \(-\frac{1}{5}\), you multiply \(-\frac{7}{8}\) by the reciprocal of \(-\frac{1}{5}\).

The reciprocal of \(-\frac{1}{5}\) is \(-5\), so:

\[ -\frac{7}{8} \div -\frac{1}{5} = -\frac{7}{8} \times -5 = \frac{7 \times 5}{8} = \frac{35}{8} \]

Now, we can convert \(\frac{35}{8}\) to a mixed number:

\[ \frac{35}{8} = 4 \frac{3}{8} \]

So, the final answer is:

4 and 3 eighths.