let's firstly convert the mixed fractions to improper fractions, and the decimal amount to a fraction by dividing it by a power of 10, 1.35 has 2 decimals, so we'll divide it by 10 with 2 zeros, 100 and lose the dot.[tex]\bf \stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}}~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\\\ \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{37}{4}}~\hfill 1.\underline{35}\implies \cfrac{135}{1\underline{00}}\implies \cfrac{27}{20} \\\\[-0.35em] ~\dotfill[/tex][tex]\bf \left( \cfrac{19}{6}-\cfrac{13}{8} \right)\div \left(\cfrac{37}{4}-\cfrac{27}{20} \right)\implies \left(\stackrel{\textit{using an LCD of 24}}{\cfrac{(4)19-(3)13}{24}} \right)\div\left( \stackrel{\textit{using an LCD of 20}}{\cfrac{(5)37-(1)27}{20}} \right) \\\\\\ \left( \cfrac{76-39}{24} \right)\div \left( \cfrac{185-27}{20} \right)\implies \cfrac{37}{24}\div \cfrac{158}{20}\implies \cfrac{37}{24}\div \cfrac{79}{10}[/tex][tex]\bf \cfrac{37}{\underset{12}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{5}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{79}\implies \cfrac{185}{948}[/tex]