Question
$$\frac{6}{11}x = \frac{9}{55}$$
Answer
$$ x = \dfrac{3}{10} $$
Explanation
$$ \begin{aligned} \frac{6}{11}x &= \frac{9}{55}&& \text{multiply ALL terms by } \color{blue}{ 55 }. \\[1 em]55 \cdot \frac{6}{11}x &= 55\cdot\frac{9}{55}&& \text{cancel out the denominators} \\[1 em]30x &= 9&& \text{ divide both sides by $ 30 $ } \\[1 em]x &= \frac{9}{30}&& \\[1 em]x &= \frac{3}{10}&& \\[1 em] \end{aligned} $$
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