What is the quotient of − 5/9÷1/5

Question

? Write the answer as a mixed number.(1 point)

Answer 1

To find the quotient of \(-\frac{5}{9} \div \frac{1}{5}\), you can multiply by the reciprocal of \(\frac{1}{5}\):

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

Now, multiply the numerators and the denominators:

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

Now, convert \(-\frac{25}{9}\) to a mixed number:

1. Divide 25 by 9:
   • \(25 \div 9 = 2\) with a remainder of 7.

So, \(-\frac{25}{9} = -2\frac{7}{9}\).

Thus, the answer as a mixed number is:

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