Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 32

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

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}