The expression given is,
[tex]\frac{1}{4}h+\frac{1}{2}h+\frac{1}{4}h+4=8.[/tex]To determine the value of h , simplify the above expression by taking the lcm .
[tex]\frac{h+2h+h}{4}+4=8[/tex][tex]\frac{4h}{4}=8-4[/tex][tex]h=4.[/tex]Thus, the value of h obtained is , 4.