SOLUTION: how do i find the produxt or quotient of 2k+8 over 6 divided by 3k+12 over 2

Question 261636: how do i find the produxt or quotient of 2k+8 over 6 divided by 3k+12 over 2
Found 2 solutions by butterfliiizzz, unlockmath:
Answer by butterfliiizzz(18) (Show Source): You can put this solution on YOUR website!
In this problem, instead of dividing, you would multiply the reciprocal. The reciprocal just means an inverted or upside down fraction.
So you can change 2k + 8/6 divided by 3k + 12/2 to:
2k + 8/6 times2/3k +12. So to multiply the tops (numerators), you would have to use the distributive property to come up with 2* 2k =4k & 2*8 =16
So the numerator would be 4k + 16.
Then we multiply out the denominators using the distributive property:
6* 3k =18k & 6*12 = 72
So the denominator would be 18k + 72.
You end up with 4k + 16/18k +72.
This can be reduced to 2k +2/9k +9
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's write this out to look like:
2k+8/6 divided by 3k+12/2 This will be rewritten as:
2k+8/6 times 2/3k+12 This can be further rewritten as:
2(k+4)/6 times 2/3(k+4) Notice that (K+4) cancels out and 6 and 2 reduce to 1/3.
2/3 times 1/3 So the answer turns out to be:
2/9
Make sense?
RJ
Check out a new book I wrote at:
www.math-unlock.com
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