Question
$$\frac{8}{9}x = \frac{12}{18}$$
Answer
$$ x = \dfrac{3}{4} $$
Explanation
$$ \begin{aligned} \frac{8}{9}x &= \frac{12}{18}&& \text{multiply ALL terms by } \color{blue}{ 18 }. \\[1 em]18 \cdot \frac{8}{9}x &= 18\cdot\frac{12}{18}&& \text{cancel out the denominators} \\[1 em]16x &= 12&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= \frac{12}{16}&& \\[1 em]x &= \frac{3}{4}&& \\[1 em] \end{aligned} $$
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