$$ \begin{aligned} \frac{5}{6}c+\frac{3}{4} &= \frac{11}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{5}{6}c+12\cdot\frac{3}{4} &= 12\cdot\frac{11}{4}&& \text{cancel out the denominators} \\[1 em]10c+9 &= 33&& \text{ move 9 to the right } \\[1 em]10c &= 33-9&& \\[1 em]10c &= 24&& \text{ divide both sides by $ 10 $ } \\[1 em]c &= \frac{24}{10}&& \\[1 em]c &= \frac{12}{5}&& \\[1 em] \end{aligned} $$

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