Algebraic Fractions

Simplifying

Cancel common factors, exactly like simplifying 6/8 to 3/4 - just with letters mixed in.

Example: (x²-9)/(x+3) = (x-3)(x+3)/(x+3) = x-3

Adding algebraic fractions

Find a common denominator, same as with ordinary fractions.

Example: 1/x + 2/(x+1) = (x+1)/(x(x+1)) + 2x/(x(x+1)) = (3x+1)/(x(x+1))

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Related Exercises

Simplify algebraic fractions

Simplify (x²-4)/(x+2)Simplify (3x²+6x)/(3x)Write as a single fraction: 2/x + 3/(x+2)Write as a single fraction: 5/(x-1) - 2/(x+1)

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