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Algebraic fractions, like fractions in arithmetic, are divided by inverting the second fraction and then multiplying.

Example:

(8x^2/3)/[6x^3/(3x - 12)]

Step1: Change to a multiplication example;

(8x^2)[(3x -12)/6x^3]

Step 2: Factor;

(8x^2)[3(x - 4)/6x^3]

Step 3: Cancel common factors;

4(x -4)/3x

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Q: How do you divide rational algebraic expression?
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