Solve the following addition problems with the lattice algorithm.

$($a$)$

$2,873$ ten $+3,469$ ten $=$ ten

$($b$)$

${313}_{\text{f}\text{i}\text{v}\text{e}}+{244}_{\text{f}\text{i}\text{v}\text{e}}=$ five

$($c$)$

${363}_{\text{e}\text{i}\text{g}\text{h}\text{t}}+{716}_{\text{e}\text{i}\text{g}\text{h}\text{t}}=$ eight