Explanation:
![- 1 (3)/(5) / ( - 2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tte8nepr0stf9etm9x4s6ahph513gwmdwh.png)
Convert the mixed numbers above to improper fractions. Thus:
![( - 8)/(5) / ( - 2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yfthush4tnpybhn9684d7ling0vrks90i0.png)
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,
![( - 8)/(5) * ( - 3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k5bee9mlz3uwgc8wxa6gci263vsbzv2ttg.png)
![( - 8 * - 3)/(5 * 2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xyz1qg74nvchzdv3uh9tm60atmuoinmway.png)
![= (24)/(10)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9bya6058ij4pe1e2grkihud21ipqd8j605.png)
![= 2 (4)/(10)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i6kkqdnx4cbukq0lhjfa0m8udkqhggzh44.png)
![= 2 (2)/(5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rw7iznc8mkocyoghp4h7nr4zl5j1iin1yx.png)