Question

Can someone help me i really don't want to fail class

Answer 1

let's firstly convert the mixed fractions to improper fractions and then add/subtract.

`\stackrel{mixed}{8(1)/(3)}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7(1)/(5)}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8(1)/(3)~~ +~~\left( -7(1)/(5) \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}`

`\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1(2)/(15)}`