$$ \begin{aligned} x &= \frac{999}{100}\cdot\frac{1}{100}&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x &= 100 \cdot \frac{999}{100}\cdot\frac{1}{100}&& \text{cancel out the denominators} \\[1 em]100x &= \frac{999}{100}&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot100x &= 100\cdot\frac{999}{100}&& \text{cancel out the denominators} \\[1 em]10000x &= 999&& \text{ divide both sides by $ 10000 $ } \\[1 em]x &= \frac{999}{10000}&& \\[1 em] \end{aligned} $$

This page was created using