$$ \begin{aligned} a+\frac{1}{5} &= 2&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5a+5\cdot\frac{1}{5} &= 5\cdot2&& \text{cancel out the denominators} \\[1 em]5a+1 &= 10&& \text{ move 1 to the right } \\[1 em]5a &= 10-1&& \\[1 em]5a &= 9&& \text{ divide both sides by $ 5 $ } \\[1 em]a &= \frac{9}{5}&& \\[1 em] \end{aligned} $$

This page was created using