Question

What is the qouteinf of -5/9 divide by 1/5

Answer 1

To find the quotient of \(-\frac{5}{9}\) divided by \(\frac{1}{5}\), you can multiply \(-\frac{5}{9}\) by the reciprocal of \(\frac{1}{5}\). The reciprocal of \(\frac{1}{5}\) is \(5\). So the expression becomes:

\[
-\frac{5}{9} \div \frac{1}{5} = -\frac{5}{9} \times 5
\]

Now, multiply \(-\frac{5}{9}\) by \(5\):

\[
-\frac{5 \times 5}{9} = -\frac{25}{9}
\]

So, the quotient of \(-\frac{5}{9}\) divided by \(\frac{1}{5}\) is \(-\frac{25}{9}\).