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anonymous
 one year ago
Faction math!! please help!
anonymous
 one year ago
Faction math!! please help!

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Fraction or Factoring?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x2 / 3x9 divided by x^2 + x  6 / x^24x+3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is the question, Fraction division I suppose.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It just says simplify your answer as much as possible

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I think you mean this, correct? \(\dfrac{x  2}{3x  9} \div \dfrac{x^2 + x  6}{x^24x+3} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes mathstudent55 that's exactly how the problem looks

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You are dividing fractions. How do you divide a fraction by a fraction?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sort of but I'm taking a test and I havent seen the stuff in years (it's a final exam that I never took like 3 years ago and now I need it to graduate . so I have to take it and pass...)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is a question on the pretest packet

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2For example: \(\dfrac{5}{8} \div \dfrac{3}{7} = \dfrac{5}{8} \times \dfrac{7}{3}\) you know the part above, right?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is just flipping the fraction.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2That means with our problem we can do that step, the flipping of the second fraction. \(=\dfrac{x  2}{3x  9} \times \dfrac{x^24x+3}{x^2 + x  6} \) Ok so far?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay I'm with you so far.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we need to factor all numerators and denominators, and see what cancels out. \(=\dfrac{x  2}{3(x  3)} \times \dfrac{(x  3)(x  1)}{(x  2)(x + 3)} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right that makes sense. So x3 and x+3 would cancel out.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No. Factors have to be exactly the same to cancel out.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Notice the smae color means it can be canceled: \(=\dfrac{\color{red}{x  2}}{3\color{green}{(x  3)}} \times \dfrac{\color{green}{(x  3)}(x  1)}{(\color{red}{x  2})(x + 3)}\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(=\dfrac{\color{red}{\cancel{x  2}}}{3\color{green}{(\cancel{x  3})}} \times \dfrac{\color{green}{(\cancel{x  3})}(x  1)}{(\color{red}{\cancel{x  2}})(x + 3)}\) What is left: \(=\dfrac{x  1}{3(x + 3)} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay.. so from there how can I simplify further?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2That is the final answer.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You can leave it like that or like this: \(=\dfrac{x  1}{3x + 9} \) Both forms are equally correct and acceptable.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you very much!
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