Answer: [tex]\dfrac{95}{8}\ ft[/tex]
Step-by-step explanation:
Given
The height of Jay is [tex]5\frac{3}{4}\ ft[/tex]
The height of David is [tex]6\frac{1}{8}\ ft[/tex]
Converting mixed to fraction and add the two heights for combined height
[tex]\Rightarrow \dfrac{5\times 4+3}{4}+\dfrac{6\times 8+1}{8}\\\\\Rightarrow \dfrac{23}{4}+\dfrac{49}{8}\\\\\Rightarrow \dfrac{46}{8}+\dfrac{49}{8}\\\\\Rightarrow \dfrac{46+49}{8}=\dfrac{95}{8}\ ft[/tex]
Thus, the combined height of the two is [tex]\frac{95}{8}\ ft[/tex]