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what is the solution of (4/x+2)/(1/2x-8), please simplify it, THX! Salute!!!!

 Feb 22, 2018
 #1
avatar+94545 
+2

(4/x + 2)  /   ( (1/2)x  - 8 )  =

 

[ (4 + 2x) / x ]  /  [ (1/2) ( x - 16) ]   =

 

[ 2 (2) ( 2 + x) / x ]  / (x - 16)  =

 

[ 4(2 + x)]  / [ x ( x - 16) ]  =

 

[ 8 + 4x ]  / [ x^2 - 16x) ]

 

 

cool cool cool

 Feb 22, 2018
 #2
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question, sir, the original one is like this 4 over x plus 2 divided by 1 over 2x minus 8, so how can you separate out 1/2 and x because its like 1 divided 2x so im confused...

Guest Feb 23, 2018
 #3
avatar+7347 
+1

(4/x+2)/(1/2x-8)   =   \(\frac{\frac4x+2}{\frac12x-8}\)

 

Only the first number after the division sign goes in the denominator when there aren't parenthesees.

 

1/2x   means   1/2 * x   which is   \(\frac12\) * x

 

and

 

1/(2x)   means   \(\frac1{2x}\) 

 Feb 23, 2018

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