## Elementary Algebra

$h=\dfrac{12}{5}$
Multiplying both sides by the $LCD= 24$ and then using the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{h}{4}+\dfrac{h}{6}=1 ,$ is \begin{array}{l}\require{cancel} 6(h)+4(h)=24(1) \\\\ 6h+4h=24 \\\\ 10h=24 \\\\ h=\dfrac{24}{10} \\\\ h=\dfrac{\cancel{2}\cdot12}{\cancel{2}\cdot5} \\\\ h=\dfrac{12}{5} .\end{array}