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Enter the simplified form of the complex fraction in the box.

Assume no denominator equals zero.

 Nov 7, 2018
 #1
avatar+102390 
+2

Let's work with this, first

 

  2               1

___    +     ___

x - 1            x

 

Cross-multiply  and keep the same sign as we have between the fractions

2x +   1 * ( x  - 1)   =   2x  + x - 1   =    3x - 1

This wiill be the numerator of the fraction at the top

Take the product of the denominators = x ( x - 1)

This will be the denominator of the fraction at the top

 

So.....we have

 

3x - 1                8

______   ÷       ____                invert the second fraction  and multiply

x(x - 1)               x

 

 

3x - 1                x                   x ( 3x - 1)

_______    *  _____  =      ____________

x ( x - 1)           8                 8x ( x - 1)

 

Cancel the x's on top/bottom

 

(3x - 1)

______

8 (x - 1)

 

 

 

cool cool cool

 Nov 7, 2018

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