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Adding, Subtracting, Multiplying, Dividing Algebraic Fractions

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Example 1

Example 1 – Adding

Simplify the following:

[latex]\frac{x}{2}+\frac{y}{5}[/latex]

Answer

[latex]\frac{5x+2y}{10}[/latex]

 

 

Example 2

Subtracting

Simplify the following:

[latex]\frac{x+2}{x} – \frac{x}{x-2}[/latex]

 

Answer

[latex]\frac{-4}{x^2-2x}[/latex]

 

 

Example 3

Multiplying

[latex]\frac{3x}{x-2}\times\frac{x}{3}[/latex]

 

 

Example 4

Dividing

 

 

 

 

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