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: $$-2\frac{3}{5}=-(2\times 5+3)/5=-(10+3)/5=-\frac{13}{5}$$

2. Now we can set up the division: $$-\frac{13}{5}÷\frac{4}{5}$$

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.