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

Question

Responses

−2 3/4

4/13

−3 1/4

−25/52

Answer 1

To divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), we first need to convert the mixed number into 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 we can set up the division: \[ -\frac{13}{5} \div \frac{4}{5} \]

3. Dividing by a fraction is the same as multiplying by its reciprocal: \[ -\frac{13}{5} \times \frac{5}{4} \]

4. Now multiply the fractions: \[ = -\frac{13 \times 5}{5 \times 4} = -\frac{13}{4} \]

Thus, the quotient is \(-\frac{13}{4}\), which can also be expressed as \(-3 \frac{1}{4}\).

The correct response is: −3 1/4.