Responses
3 answers
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 \(\frac{25}{11}\).
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:
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:
\(2\frac{3}{11}\).
