Question

$$\frac{ }{ } + \frac{ 2 }{ -4 } = \frac{ 5 }{ 8 } + \frac{ 2 }{ 5 }$$

Answer

[No Solution]

Solution


Move the negative sign to the left.
\[/-2/4=5/8+2/5\]
Simplify  \(/-2/4\)  to  \(\frac{1}{-8}\).
\[\frac{1}{-8}=\frac{5}{8}+\frac{2}{5}\]
Move the negative sign to the left.
\[-\frac{1}{8}=\frac{5}{8}+\frac{2}{5}\]
Simplify  \(\frac{5}{8}+\frac{2}{5}\)  to  \(\frac{41}{40}\).
\[-\frac{1}{8}=\frac{41}{40}\]
Since \(-\frac{1}{8}=\frac{41}{40}\) is false, there is no solution.
No Solution