Step-by-step explanation:
[tex] - 1 \frac{3}{5} \div \frac{ - 2}{3} [/tex]
Convert the mixed numbers above to improper fractions. Thus:
[tex] \frac{ - 8}{5} \div \frac{ - 2}{3} [/tex]
In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,
[tex] \frac{ - 8}{5} \times \frac{ - 3}{2} [/tex]
[tex] \frac{ - 8 \times - 3}{5 \times 2} [/tex]
[tex] = \frac{24}{10} [/tex]
[tex] = 2 \frac{4}{10} [/tex]
[tex] = 2 \frac{2}{5} [/tex]