$$\frac{\frac{4}{39}}{16}-5 = \frac{2}{5}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{\frac{4}{39}}{16}-5 &= \frac{2}{5}&& \text{multiply ALL terms by } \color{blue}{ 3120 }. \\[1 em]3120 \cdot \frac{\frac{4}{39}}{16}-3120\cdot5 &= 3120\cdot\frac{2}{5}&& \text{cancel out the denominators} \\[1 em]20-15600 &= 1248&& \text{simplify left side} \\[1 em]-15580 &= 1248&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -15580 = 1248 } $ is FALSE, we conclude that the equation has no solution.
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