#### Answer

$h=\dfrac{40}{9}$

#### Work Step by Step

Multiplying both sides by the $LCD=
20
,$ the value of the variable that satisfies the given equation, $
\dfrac{h}{5}+\dfrac{h}{4}=2
,$ is
\begin{array}{l}\require{cancel}
4(h)+5(h)=20(2)
\\\\
4h+5h=40
\\\\
9h=40
\\\\
h=\dfrac{40}{9}
.\end{array}