-10/11 divide by -2/5

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

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

So, the final answer is:

\[ \frac{25}{11} \]