The solution of the given complex fraction will be;
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.
The given complex fraction is
[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]
Now by taking LCM the equation will become
[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]
Now the final expression will be
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
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