What is the quotient when you divide −7/8

by −1/5
?(1 point)

1 answer

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

So, the division can be expressed as:

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

Now, multiply the fractions:

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

Thus, the quotient when you divide \(-\frac{7}{8}\) by \(-\frac{1}{5}\) is \(\frac{35}{8}\).