$$ \begin{aligned} \frac{9}{5}+32 &= f&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot\frac{9}{5}+5\cdot32 &= 5f&& \text{cancel out the denominators} \\[1 em]9+160 &= 5f&& \text{simplify left side} \\[1 em]169 &= 5f&& \text{ swap the left and right side of the equation } \\[1 em]5f &= 169&& \text{ divide both sides by $ 5 $ } \\[1 em]f &= \frac{169}{5}&& \\[1 em] \end{aligned} $$

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