For this case we have to evaluate the following expression,
[tex]- \frac {2} {3} * 5 \frac {1} {6}[/tex]
We must follow the steps below:
We convert the mixed number into a fraction:
[tex]- \frac {2} {3} * \frac {6 * 5 + 1} {6} =\\- \frac {2} {3} * \frac {31} {6} =[/tex]
We multiply the fractions, taking into account that:
[tex]- * + = -\\- \frac {2 * 31} {3 * 6} =\\- \frac {62} {18} =[/tex]
We simplify:
[tex]- \frac {31} {9}[/tex]
We convert to mixed number:
[tex]-3 \frac {4} {9}[/tex]
Answer:
[tex]-3 \frac {4} {9}[/tex]
