Rodrigo practiced playing the guitar 17 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours furing the firdt week snd 4 2/3 hours furing the second week. How much time did Rodrigo spend practicing during the third week? Use the number and Symbols to select the equation that represents the problem. Them solve the equation . Symbols may be used more than once or not st all..

[tex]\bf \stackrel{mixed}{17\frac{1}{3}}\implies \cfrac{17\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{52}{3}} \\\\\\ \stackrel{mixed}{6\frac{1}{4}}\implies \cfrac{6\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{25}{4}}~\hfill \stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{week~1}{6\frac{1}{4}}+\stackrel{week~2}{4\frac{2}{3}}+\stackrel{week~3}{x}=17\frac{1}{3}~\hfill \implies ~\hfill \cfrac{25}{4}+\cfrac{14}{3}+x=\cfrac{52}{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{25}{4}+\cfrac{14}{3}+x \right)=12\left( \cfrac{52}{3} \right)}\implies (3)25+(4)14+(12)x=(4)52 \\\\\\ 75+56+12x=208\implies 131+12x=208\implies 12x=77 \\\\\\ x=\cfrac{77}{12}\implies x=6\frac{5}{12}[/tex]