To divide \(-\frac{10}{11}\) by \(-\frac{2}{5}\), you can multiply \(-\frac{10}{11}\) by the reciprocal of \(-\frac{2}{5}\).
First, find the reciprocal of \(-\frac{2}{5}\):
\[ -\frac{2}{5} \rightarrow -\frac{5}{2} \]
Now, multiply:
\[ -\frac{10}{11} \times -\frac{5}{2} = \frac{10 \times 5}{11 \times 2} = \frac{50}{22} \]
Next, simplify \(\frac{50}{22}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{50 \div 2}{22 \div 2} = \frac{25}{11} \]
So, the quotient when dividing \(-\frac{10}{11}\) by \(-\frac{2}{5}\) is:
\[ \frac{25}{11} \]
3 answers