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avatar+17 

X/6 + X/3 =3

 If i make the denominator on the left 6, do I need to do the same on the right hand side?

 

another example is 5x/3 - 3x/4=11/6

mattkuk2003  Nov 3, 2018
 #1
avatar+27135 
+3

"X/6 + X/3 =3

 If i make the denominator on the left 6, do I need to do the same on the right hand side?"

 

The simplest way is to multiply every term (on the RHS as well as the LHS) by the lowest common denominator of the 6 and the 3 (in this case that is just 6).

 

"another example is 5x/3 - 3x/4=11/6"

 

In this case multiply every term by the lcd of 3 and 4 (namely 12).

Alan  Nov 3, 2018
 #2
avatar+91213 
+1

x / 6   +  x / 3   =  3        multiply every  term by 6

 

x + 2x   =  18     

 

3x  = 18      divide both sides by  3

 

x  =  6

 

 

 

5x /3 - 3x /4   = 11/6       multiply every term by 12

 

20x  - 9x  =  22

 

11x  =   22     divide both sides by  11

 

x  =   2

 

 

 

cool cool cool

CPhill  Nov 3, 2018

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