animalhugsmasher
animalhugsmasher animalhugsmasher
  • 10-05-2022
  • Mathematics
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Which expression is equivalent to the following complex fraction?

Which expression is equivalent to the following complex fraction class=

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ponton
ponton ponton
  • 10-05-2022

Answer:

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

Step-by-step explanation:

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

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