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

Question

Responses

−2 3/11

2 3/4

4/11

2 3/11

Answer 1

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

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

Now, multiplying the fractions:

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

Next, simplify \(\frac{50}{22}\):

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

Now we can convert \(\frac{25}{11}\) to a mixed number:

\[ 25 \div 11 = 2 \quad \text{(remainder 3)} \]

So, \(\frac{25}{11} = 2 \frac{3}{11}\).

Therefore, the quotient when you divide \(-\frac{10}{11}\) by \(-\frac{2}{5}\) is \(\boxed{2 \frac{3}{11}}\).