Question

What is the quotient of -5/9/ 1/5 write the answer as a mixed number

Answer 1

To divide the fractions \(-\frac{5}{9} \div \frac{1}{5}\), we can multiply by the reciprocal of \(\frac{1}{5}\).

So,

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

Now, we can convert \(-\frac{25}{9}\) into a mixed number.

To do this, we divide 25 by 9:

- \(25 \div 9 = 2\) with a remainder of \(7\).

So, \(-\frac{25}{9}\) can be expressed as:

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

Thus, the quotient of \(-\frac{5}{9} \div \frac{1}{5}\) as a mixed number is:

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