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

Responses

413
4 over 13

−234
negative 2 Start Fraction 2 over 25 End Fraction

−314
3 Start Fraction 1 over 4 End Fraction

−2552
negative Start Fraction 25 over 52 End Fraction

3 answers

To find the quotient when dividing \(-2 \frac{3}{5}\) by \(\frac{4}{5}\), we will 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 by \(\frac{4}{5}\): \[ -\frac{13}{5} \div \frac{4}{5} = -\frac{13}{5} \times \frac{5}{4} \]

  3. The \(5\) in the numerator and denominator cancels out: \[ = -\frac{13}{4} \]

The quotient is \(-\frac{13}{4}\).

To match one of the responses:

\(-\frac{13}{4}\) can be written as \(-3 \frac{1}{4}\), but none of the options provided exactly show that form. It seems you might need to specify a simplification of the responses, but given the options:

The closest answer would be: \(-\frac{13}{4}\) is equivalent to \(-3 \frac{1}{4}\).

If you must pick from the available responses that are given, the correct response to match this quotient is: \(-3 \frac{1}{4}\).

None of the exact options you provided align, so please check for accuracy or re-check the question with respect to matching how options are described.

give me the best answer

Given the quotient of \(-2 \frac{3}{5}\) divided by \(\frac{4}{5}\) is \(-\frac{13}{4}\), and converting that to a mixed number gives \(-3 \frac{1}{4}\).

However, since \(-3 \frac{1}{4}\) does not appear in your provided options, we can represent \(-\frac{13}{4}\) as an improper fraction.

Looking at the options you listed:

  1. \(4 \over 13\)
  2. \(-2 \frac{2}{25}\)
  3. \(-3 \frac{1}{4}\)
  4. \(-\frac{25}{52}\)

The best answer in terms of capturing the value (even if not explicitly) based on the context provided to fit the calculation is:

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

If this option isn't available, it could be a misunderstanding in presenting the original values; the affirmative best answer for this task based upon your calculation would be \(-3 \frac{1}{4}\) if indicated, but likely not configured correctly in number formatting.

So, the most appropriate response should be finalized as:

Select the option that states "−314" / "negative 3 1/4", as that aligns with your calculated answer of \(-\frac{13}{4}\).