Answer:
The answer is -25/72
Step-by-step explanation:
First, you have to convert the mixed number into improper fraction :
[tex]2 \frac{2}{5} [/tex]
[tex] = \frac{(5 \times 2) + 2}{5} [/tex]
[tex] = \frac{12}{5} [/tex]
Then, you can divide it :
[tex] - \frac{5}{6} \div \frac{12}{5} [/tex]
[tex] = - \frac{5}{6} \times \frac{5}{12} [/tex]
[tex] = \frac{ - 5 \times 5}{6 \times 12} [/tex]
[tex] = - \frac{ 25}{72} [/tex]
