What is the quotient when you divide −2 3/5

Question

What is the quotient when you divide  −2 3/5
  by  4/5
 ?(1 point)
Responses

4/13
4 over 13

− 25/52
negative Start Fraction 25 over 52 End Fraction

−2 3/4
negative 2 Start Fraction 2 over 25 End Fraction

−3 1/4

GPT-4o mini · Answer

To divide $-2 \frac{3}{5}$ by $\frac{4}{5}$, we can first convert the mixed number to an improper fraction. 1. Convert $-2 \frac{3}{5}$ to an improper fraction: $$ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\left(10 + 3\right)/5 = -\frac{13}{5} $$ 2. Now divide $-\frac{13}{5}$ by $\frac{4}{5}$: $$ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} = -\frac{13 \times 5}{5 \times 4} $$ The $5$ in the numerator and denominator cancel out: $$ -\frac{13}{4} $$ 3. Now convert $-\frac{13}{4}$ to a mixed number: $-\frac{13}{4} = -3 \frac{1}{4}$. Thus, the quotient when you divide $-2 \frac{3}{5}$ by $\frac{4}{5}$ is $-3 \frac{1}{4}$. **Final Answer: $-3 \frac{1}{4}$**.