Question

-5/9 divde by 1/5 in mixed number

Answer 1

To divide the fractions \(-\frac{5}{9}\) by \(\frac{1}{5}\), you can multiply by the reciprocal of the divisor. So, this can be expressed as:

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

Now, multiply the numerators and the denominators:

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

Next, to convert \(-\frac{25}{9}\) into a mixed number, divide 25 by 9:

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

So, we can express \(-\frac{25}{9}\) as:

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

Therefore, \(-\frac{5}{9} \div \frac{1}{5}\) in mixed number form is:

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