Question

Please tell me the answers and how you got them step by step

Answer 1

Keep in mind we'll convert the mixed fractions to "improper" and then proceed,  also keep in mind that minus times minus is plus,

$\bf -5-\cfrac{5}{3}\impliedby \stackrel{LCD}{3}\implies \cfrac{(-5\cdot 3)-(5\cdot 1)}{3}\implies \cfrac{-15-5}{3}\implies \cfrac{-20}{3} \\\\\\ {-6\frac{2}{3}}\\\\ -------------------------------\\\\ -1\frac{1}{3}-1\frac{2}{3}\implies -\cfrac{1\cdot 3+1}{3}-\cfrac{1\cdot 3+2}{3}\implies -\cfrac{4}{3}-\cfrac{5}{3}$

$\bf \stackrel{LCD}{3}\implies \cfrac{-4-5}{3}\implies \cfrac{-9}{3}\implies -3\\\\ -------------------------------\\\\ -\cfrac{1}{2}-\left(-\cfrac{5}{9} \right)\implies -\cfrac{1}{2}+\cfrac{5}{9}\impliedby \stackrel{LCD}{18}\implies \cfrac{(-1\cdot 9)+(5\cdot 2)}{18} \\\\\\ \cfrac{-9+10}{18}\implies \cfrac{1}{18}$