Question
$$\frac{4}{5}\cdot\frac{3}{8}+\frac{9}{20} = \frac{3}{4}$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} \frac{4}{5}\cdot\frac{3}{8}+\frac{9}{20} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 40 }. \\[1 em]40 \cdot \frac{4}{5}\cdot\frac{3}{8}+40\cdot\frac{9}{20} &= 40\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]12+18 &= 30&& \text{simplify left side} \\[1 em]30 &= 30&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 30 = 30 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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