Question

What’s 92 5/6 + 45 6/12 — 32 9/12 then that answer divided by 29 2/12? It’s hard but 40 points?

Answer 1

92 5/6 + 45 6/12 - 32 9/12 = 105 7/12

105 7/12 divided by 29 2/12 = 3 31/50

Answer 2

firstly, let's change all those mixed fractions to improper fractions.

$\bf \stackrel{mixed}{92\frac{5}{6}}\implies \cfrac{92\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{557}{6}}~\hfill \stackrel{mixed}{45\frac{6}{12}}\implies \cfrac{45\cdot 12+6}{12}\implies \stackrel{improper}{\cfrac{546}{12}} \\\\\\ \stackrel{mixed}{32\frac{9}{12}}\implies \cfrac{32\cdot 12+9}{12}\implies \stackrel{improper}{\cfrac{393}{12}}~\hfill \stackrel{mixed}{29\frac{2}{12}}\implies \cfrac{29\cdot 12+2}{12}\implies \stackrel{improper}{\cfrac{350}{12}} \\\\[-0.35em] ~\dotfill$

$\bf \left(\cfrac{557}{6} +\cfrac{546}{12}-\cfrac{393}{12} \right)\div\cfrac{350}{12}\implies \stackrel{\textit{simplifying some fractions}}{\left(\cfrac{557}{6} +\cfrac{91}{2}-\cfrac{131}{4} \right)\div\cfrac{175}{6}} \\\\\\ \stackrel{\textit{using an LCD of 12}}{\left( \cfrac{(2)557+(6)91-(3)131}{12} \right)}\div\cfrac{175}{6}\implies \left( \cfrac{1114+546-393}{12} \right)\div\cfrac{175}{6}$

$\bf \left(\cfrac{1267}{12} \right)\div\cfrac{175}{6}\implies \cfrac{1267}{12}\cdot \cfrac{6}{175}\implies \cfrac{1267}{175}\cdot \cfrac{6}{12}\implies \cfrac{181}{25}\cdot \cfrac{1}{2} \\\\\\ \cfrac{181}{50}\implies 3\frac{31}{50}$