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

Question

Responses

234
2 Start Fraction 3 over 4 End Fraction

411
Start Fraction 4 over 11 End Fraction

−2311
negative 2 Start Fraction 3 over 11 End Fraction

2311

Answer 1

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

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

Now perform the multiplication:

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

The negatives cancel out:

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

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

\[ \frac{50 \div 2}{22 \div 2} = \frac{25}{11} \]

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

Thus, the correct response is: 2311.