Question
$$\frac{4}{11}x = \frac{16}{33}$$
Answer
$$ x = \dfrac{4}{3} $$
Explanation
$$ \begin{aligned} \frac{4}{11}x &= \frac{16}{33}&& \text{multiply ALL terms by } \color{blue}{ 33 }. \\[1 em]33 \cdot \frac{4}{11}x &= 33\cdot\frac{16}{33}&& \text{cancel out the denominators} \\[1 em]12x &= 16&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{16}{12}&& \\[1 em]x &= \frac{4}{3}&& \\[1 em] \end{aligned} $$
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