Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     3/7*w-11-(-4/7*w)=0 

Step by step solution :

Step  1  :

            4
 Simplify   —
            7

Equation at the end of step  1  :

    3            4
  ((—•w)-11)-(0-(—•w))  = 0 
    7            7

Step  2  :

            3
 Simplify   —
            7

Equation at the end of step  2  :

    3                -4w
  ((— • w) -  11) -  ———  = 0 
    7                 7 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

          11     11 • 7
    11 =  ——  =  ——————
          1        7   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

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

 3w - (11 • 7)     3w - 77
 —————————————  =  ———————
       7              7   

Equation at the end of step  3  :

  (3w - 77)    -4w
  ————————— -  ———  = 0 
      7         7 

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:

 (3w-77) - (-4w)     7w - 77
 ———————————————  =  ———————
        7               7   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   7w - 77  =   7 • (w - 11) 

Equation at the end of step  5  :

  w - 11  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    w-11 = 0 

 Add  11  to both sides of the equation : 
                      w = 11

One solution was found :