Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.9" was replaced by "(39/10)". 3 more similar replacement(s)

Rearrange:

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

                c/(2/10)+(9/10)-((39/10))=0 

Step by step solution :

Step  1  :

            39
 Simplify   ——
            10

Equation at the end of step  1  :

   c2     9     39
  (—— +  ——) -  ——  = 0 
   10    10     10

Step  2  :

             9
 Simplify   ——
            10

Equation at the end of step  2  :

   c2     9     39
  (—— +  ——) -  ——  = 0 
   10    10     10

Step  3  :

            1
 Simplify   —
            5

Equation at the end of step  3  :

   1     9     39
  (— +  ——) -  ——  = 0 
   5    10     10

Step  4  :

                1
 Divide  c  by  —
                5

Equation at the end of step  4  :

          9     39
  (5c +  ——) -  ——  = 0 
         10     10

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  10  as the denominator :

           5c     5c • 10
     5c =  ——  =  ———————
           1        10   

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 :

 5.2       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:

 5c • 10 + 9     50c + 9
 ———————————  =  ———————
     10            10   

Equation at the end of step  5  :

  (50c + 9)    39
  ————————— -  ——  = 0 
     10        10

Step  6  :

Adding fractions which have a common denominator :

 6.1       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:

 (50c+9) - (39)     50c - 30
 ——————————————  =  ————————
       10              10   

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   50c - 30  =   10 • (5c - 3) 

Equation at the end of step  7  :

  5c - 3  = 0 

Step  8  :

Solving a Single Variable Equation :

 8.1      Solve  :    5c-3 = 0 

 Add  3  to both sides of the equation : 
                      5c = 3
Divide both sides of the equation by 5:
                     c = 3/5 = 0.600

One solution was found :