Question
$$\frac{5}{9}x\cdot\frac{97}{10} = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} \frac{5}{9}x\cdot\frac{97}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 90 }. \\[1 em]90 \cdot \frac{5}{9}x\cdot\frac{97}{10} &= 90\cdot0&& \text{cancel out the denominators} \\[1 em]485x &= 0&& \text{ divide both sides by $ 485 $ } \\[1 em]x &= \frac{0}{485}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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