Question

What is the quotient when you divide −10/11 by −2/5 ?(1 point)
Responses

Answer 1

here are the answer chooises
234
2 Start Fraction 3 over 4 End Fraction

411
Start Fraction 4 over 11 End Fraction

2311

Answer 2

To divide \(-\frac{10}{11}\) by \(-\frac{2}{5}\), you can multiply \(-\frac{10}{11}\) by the reciprocal of \(-\frac{2}{5}\).

The reciprocal of \(-\frac{2}{5}\) is \(-\frac{5}{2}\).

Now, perform the multiplication:

\[
-\frac{10}{11} \times -\frac{5}{2} = \frac{10 \times 5}{11 \times 2} = \frac{50}{22}
\]

Now simplify \(\frac{50}{22}\):

\[
\frac{50}{22} = \frac{25}{11}
\]

Therefore, the quotient when you divide \(-\frac{10}{11}\) by \(-\frac{2}{5}\) is \(\frac{25}{11}\).

Answer 3

Let's evaluate \(-\frac{10}{11}\) divided by \(-\frac{2}{5}\) again with an emphasis on matching the answers provided.

As calculated earlier:

\[
-\frac{10}{11} \div -\frac{2}{5} = -\frac{10}{11} \times -\frac{5}{2} = \frac{10 \times 5}{11 \times 2} = \frac{50}{22}
\]

Now, let's simplify \(\frac{50}{22}\):

\[
\frac{50}{22} = \frac{25}{11}
\]

Now, let's check the options you provided:

1. \(2\frac{3}{4}\)
2. \(\frac{4}{11}\)
3. \(2\frac{3}{11}\)

None of the options directly gives \(\frac{25}{11}\) as is. However, \(\frac{25}{11}\) can be expressed as a mixed number:

\[
\frac{25}{11} = 2 \frac{3}{11}
\]

Given that, the correct choice from the list you provided is:

**\(2\frac{3}{11}\)**.