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

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

`\bf \stackrel{mixed}{92(5)/(6)}\implies \cfrac{92\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{557}{6}}~\hfill \stackrel{mixed}{45(6)/(12)}\implies \cfrac{45\cdot 12+6}{12}\implies \stackrel{improper}{\cfrac{546}{12}} \\\\\\ \stackrel{mixed}{32(9)/(12)}\implies \cfrac{32\cdot 12+9}{12}\implies \stackrel{improper}{\cfrac{393}{12}}~\hfill \stackrel{mixed}{29(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)/\cfrac{350}{12}\implies \stackrel{\textit{simplifying some fractions}}{\left(\cfrac{557}{6} +\cfrac{91}{2}-\cfrac{131}{4} \right)/\cfrac{175}{6}} \\\\\\ \stackrel{\textit{using an LCD of 12}}{\left( \cfrac{(2)557+(6)91-(3)131}{12} \right)}/\cfrac{175}{6}\implies \left( \cfrac{1114+546-393}{12} \right)/\cfrac{175}{6}`

`\bf \left(\cfrac{1267}{12} \right)/\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(31)/(50)`

Answer 2

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

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