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]
