campanamaribel89 campanamaribel89

12-07-2022
Mathematics

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Which expression is equivalent to the following complex fraction?
-2/x + 5/y / 3/y - 2/x

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Medunno13 Medunno13

13-07-2022

Answer: [tex]\frac{5x-2y}{3x-2y}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}[/tex]
Multiplying the numerator and denominator by xy,

[tex]=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}[/tex]

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