The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
Equivalent expressions are expressions that have equal values, when compared
The expression is given as:
[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]
Take LCM
[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]
Express the quotient as products
[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]
Evaluate the product
[tex]\frac {2y - 4x}{5x + 3y}[/tex]
Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
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