Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 50

$n=\dfrac{1}{6}$

Multiplying both sides of the equation by $ \dfrac{4}{3} $ (which is the reciprocal of 3/4) and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{3}{4}n=\dfrac{1}{8} ,$ is \begin{array}{l}\require{cancel} n=\dfrac{1}{8}\cdot\dfrac{4}{3} \\\\ n=\dfrac{1}{\cancel{4}\cdot2}\cdot\dfrac{\cancel{4}}{3} \\\\ n=\dfrac{1}{6} .\end{array}