What is the solution to the equation 4/5n-1/5=2/5n

4/5n-1/5=2/5n  

One solution was found :

                  n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/5*n-1/5-(2/5*n)=0  

Step by step solution :

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

   4    1   2

 ((—•n)-—)-(—•n)  = 0  

   5    5   5

Step  2  :

           1

Simplify   —

           5

Equation at the end of step  2  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  3  :

           4

Simplify   —

           5

Equation at the end of step  3  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4n - (1)     4n - 1

————————  =  ——————

   5           5    

Equation at the end of step  4  :

 (4n - 1)    2n

 ———————— -  ——  = 0  

    5        5  

Step  5  :

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4n-1) - (2n)     2n - 1

—————————————  =  ——————

      5             5    

Equation at the end of step  5  :

 2n - 1

 ——————  = 0  

   5    

Step  6  :

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2n-1

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2n-1  = 0

Solving a Single Variable Equation :

6.2      Solve  :    2n-1 = 0  

Add  1  to both sides of the equation :  

                     2n = 1

Divide both sides of the equation by 2:

                    n = 1/2 = 0.500

One solution was found :

                  n = 1/2 = 0.500

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