$$ \begin{aligned} -\frac{11}{3}x+\frac{13}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12 \cdot \frac{11}{3}x+12\cdot\frac{13}{4} &= 12\cdot0&& \text{cancel out the denominators} \\[1 em]-44x+39 &= 0&& \text{ move the constants to the right } \\[1 em]-44x &= -39&& \text{ divide both sides by $ -44 $ } \\[1 em]x &= \frac{-39}{-44}&& \\[1 em]x &= \frac{39}{44}&& \\[1 em] \end{aligned} $$

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