Question

What is the quotient when you divide -10 11ths by -2/5

Answer 1

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:

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