We want to evaluate
[tex]-1 \frac{3}{5} \div (- \frac{2}{3}) [/tex]
Note that
(a) [tex]-1 \frac{3}{5} = - \frac{8}{5} [/tex]
(b) When dividing by a fraction, you may multiply by the reciprocal of the fraction.
(c) When two negative numbers are multiplied together, the result is positive.
Therefore
[tex]-1 \frac{3}{5} \div (- \frac{2}{3} ) \\\\ = - \frac{8}{5} \times (- \frac{2}{3}) \\\\ = \frac{16}{15} [/tex]
As a mixed number,
[tex] \frac{16}{15} = 1 \frac{1}{15} [/tex]
Answer: [tex]1 \frac{1}{15} [/tex]
