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Can someone please provide an example problem showing multiplying and dividing rational expressions? I'm trying to get ready for a DBA tomorrow. Thank you!

2 Answers

4 votes

Explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:


(x+a)/(y+b)*(x+c)/(y+d)


= ((x+a)(x+c))/((y+b)(y+d))


=(x^(2)+ax+cx+ac)/(y^(2)+by+dy+bd)

To divide by a rational expression, multiply by its reciprocal. In other words, flip the fraction, then multiply.

For example:


(x+a)/(y+b)/(x+c)/(y+d)


=(x+a)/(y+b)*(y+d)/(x+c)


=((x+a)(y+d))/((x+c)(y+b))


=(xy+dx+ay+ad)/(xy+bx+cy+bc)

User Mrbungle
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1 vote
I hope this helps... good luck
Can someone please provide an example problem showing multiplying and dividing rational-example-1
User Jonathan Dodds
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