## Elementary Algebra

$n=\dfrac{3}{10}$
Multiplying both sides of the equation by $\dfrac{3}{2}$ (which is the reciprocal of 2/3) and using the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{2}{3}n=\dfrac{1}{5} ,$ is \begin{array}{l}\require{cancel} n=\dfrac{1}{5}\cdot\dfrac{3}{2} \\\\ n=\dfrac{3}{10} .\end{array}