To divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), we first convert \(-2 \frac{3}{5}\) into an improper fraction.
- Convert \(-2 \frac{3}{5}\):
\[ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\frac{10 + 3}{5} = -\frac{13}{5} \]
- Now, when dividing by a fraction, we multiply by its reciprocal:
\[ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} \]
- Multiply the fractions:
\[ -\frac{13 \times 5}{5 \times 4} = -\frac{13}{4} \]
- Finally, convert \(-\frac{13}{4}\) into a mixed number if desired:
\(-\frac{13}{4} = -3 \frac{1}{4}\)
Thus, the quotient when \(-2 \frac{3}{5}\) is divided by \(\frac{4}{5}\) is
\(-3 \frac{1}{4}\).
The correct answer is:
−3 1/4 (negative 3 Start Fraction 1 over 4 End Fraction).