TaterBrady
Answered

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Which expression is equivalent to the following fraction?

Which Expression Is Equivalent To The Following Fraction class=

Sagot :

Given:

The fraction is:

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

To find:

The expression that is equivalent to the given fraction.

Solution:

We have,

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

After taking LCM, we get

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

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

Therefore, the correct option is A.

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