-7 1/5 divided by 4/5 in simplest form

To divide \(-7 \frac{1}{5}\) by \(\frac{4}{5}\), we first convert the mixed number into an improper fraction.

1. Convert \(-7 \frac{1}{5}\):
\[
-7 \frac{1}{5} = -\left(7 \times 5 + 1\right)/5 = -\left(35 + 1\right)/5 = -\frac{36}{5}
\]

2. Now, we divide by \(\frac{4}{5}\). Dividing by a fraction is the same as multiplying by its reciprocal:
\[
-\frac{36}{5} \div \frac{4}{5} = -\frac{36}{5} \times \frac{5}{4}
\]

3. Multiply the fractions:
\[
-\frac{36 \cdot 5}{5 \cdot 4} = -\frac{36}{4}
\]

4. Simplify \(-\frac{36}{4}\):
\[
-\frac{36}{4} = -9
\]

Thus, \(-7 \frac{1}{5}\) divided by \(\frac{4}{5}\) is \(-9\).