Question

Simply -3 2/3 - 6 3/4

Answer 1

let's firstly convert the mixed fractions to improper fractions.

`\stackrel{mixed}{3(2)/(3)}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{6(3)/(4)} \implies \cfrac{6\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{27}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\cfrac{27}{4}\implies \cfrac{-(4)(11) - (3)(27)}{\underset{\textit{using this as the LCD}}{12}}\implies \cfrac{-44-81}{12}\implies \cfrac{-125}{12}\implies -10(5)/(12)`