Question

-5/9 divided by 1/5 write the answer as a mixed number

Answer 1

To divide \(-\frac{5}{9}\) by \(\frac{1}{5}\), you can multiply by the reciprocal of the divisor. So, the division becomes:

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

Now, perform the multiplication:

\[
-\frac{5 \times 5}{9 \times 1} = -\frac{25}{9}
\]

Next, we can convert \(-\frac{25}{9}\) into a mixed number. To do this, divide 25 by 9:

\[
25 \div 9 = 2 \quad \text{(with a remainder of } 7\text{)}
\]

This means:

\[
-\frac{25}{9} = -2 \frac{7}{9}
\]

So the final answer is:

\[
\boxed{-2 \frac{7}{9}}
\]