Question
$$\frac{4}{5}\cdot3+\frac{9}{20} = \frac{3}{4}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{4}{5}\cdot3+\frac{9}{20} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{4}{5}\cdot3+20\cdot\frac{9}{20} &= 20\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]48+9 &= 15&& \text{simplify left side} \\[1 em]57 &= 15&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 57 = 15 } $ is FALSE, we conclude that the equation has no solution.
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