Ask a New Question
Menu

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

Responses

−25/52

−3 1/4

4/13

−2 3/4

1 answer

To divide \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), we first convert the mixed number into an improper fraction.

  1. Convert \(-2 \frac{3}{5}\) to an improper fraction: \[ -2 \frac{3}{5} = -\left(2 \times 5 + 3\right)/5 = -\frac{10 + 3}{5} = -\frac{13}{5} \]

  2. Now, we divide \(-\frac{13}{5}\) by \(\frac{4}{5}\): \[ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} \]

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

  4. 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 \(-3 \frac{1}{4}\).

The correct response is:

−3 1/4