# How do you divide rational expressions?

Remember that dividing by a fraction is equivalent to multiplying by the reciprocal of the fraction, that is,

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To divide rational expressions, you can follow these steps:

- Simplify both the numerator and denominator of the rational expressions, if possible.
- Keep the first rational expression as it is.
- Flip the second rational expression (invert it) by swapping the numerator and denominator.
- Rewrite the division operation as multiplication by multiplying the first rational expression with the inverted second rational expression.
- Simplify the resulting expression, if possible, by canceling out common factors in the numerator and denominator.
- If necessary, factorize the numerator and denominator further to simplify the expression.

That's it! You have successfully divided the rational expressions.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you simplify #(6r^2p^3)/(4rp^4)# and find any non permissible values?
- How do you find the product of #((r-8)(r+3))/r*(2r)/((r+8)(r+3))#?
- How do you divide #\frac { 3k ^ { 2} - 2k - 1} { 3k ^ { 2} + 10k + 7} \div \frac { 9k ^ { 2} - 1} { 3k ^ { 2} + 4k - 7}#?
- How do you simplify #(5y-15)/(3y-9)#?
- How do you graph #f(x)=(x+4)/(-2x-6)# using holes, vertical and horizontal asymptotes, x and y intercepts?

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