CookieMonster18
  • CookieMonster18
Evaluate X/Y for X=4/3 and Y=6/11.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
22/9
jabez177
  • jabez177
Basically, \[\frac{ 4 }{ 3 }\div \frac{ 6 }{ 11 }\]
CookieMonster18
  • CookieMonster18
how @CharlieJay

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More answers

jabez177
  • jabez177
So whenever we are dividing fractions, we can also multiply the reciprocate.
jabez177
  • jabez177
\[\frac{ 4 }{ 3 }\times \frac{ 11 }{ 6 }\]
anonymous
  • anonymous
Cross multiplying is the way I do it in short. 4*11/3*6 = 44/18 = 22/9
jabez177
  • jabez177
Now what is 4 x 11?
CookieMonster18
  • CookieMonster18
I did that in my calculator and it gave it to me in decimals then I did it in a different one and it said error :/.... but thank you @CharlieJay and @jabez177
jabez177
  • jabez177
@CharlieJay, welcome to OpenStudy! We are supposed to guide the person to the answer, not just give it out. :)
CookieMonster18
  • CookieMonster18
4x11 is 44
jabez177
  • jabez177
Good, now what is 3 x 6?
CookieMonster18
  • CookieMonster18
3x6 is 18
jabez177
  • jabez177
\[\frac{ 44 }{ 18 }\div \frac{ 2 }{ 2 }\]
jabez177
  • jabez177
What is 44 divided by 2?
CookieMonster18
  • CookieMonster18
22
jabez177
  • jabez177
Now what is 18 divided by 2?
CookieMonster18
  • CookieMonster18
9
jabez177
  • jabez177
Perfect, when you put that in a fraction it comes out as\[\frac{ 22 }{ 9}\]
jabez177
  • jabez177
And that is how you get your answer. :) It is in simplest form. :)
anonymous
  • anonymous
@jabez177 Sorry about that, I guess I'll type out the longer way just for reference. In order to divide 2 fractions similar to these you would need to cross multiply taking the first fractions numerator and multiply it by the second fractions denominator and that will give you your new numerator and then you take the second fractions numerator and multiply it by the first fractions denominator and that will give you your new denominator and then from there you simplify. You are also just multiplying by the reciprocal which is as simple as flipping the fractions around making the numerator the denominator and the denominator the numerator. 4/3 / 6/11 4/3 * 11/6 4*11 = 44 3*6 = 18 New fraction is equal to 44/18 and that simplified is 22/9. Once again sorry about that.
jabez177
  • jabez177
It's okay @CharlieJay, welcome to OpenStudy! :)

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