Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)". 2 more similar replacement(s)

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

      12 1
  ((((——+—)+1)+2)+1)+1
      10 5

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

      6    1                       
  ((((— +  —) +  1) +  2) +  1) +  1
      5    5                       

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 6 + 1     7
 —————  =  —
   5       5

Equation at the end of step  3  :

     7                      
  (((— +  1) +  2) +  1) +  1
     5                      

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         1     1 • 5
    1 =  —  =  —————
         1       5  

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 :

 4.2       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:

 7 + 5     12
 —————  =  ——
   5       5 

Equation at the end of step  4  :

    12                
  ((—— +  2) +  1) +  1
    5                 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         2     2 • 5
    2 =  —  =  —————
         1       5  

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions

 12 + 2 • 5     22
 ——————————  =  ——
     5          5 

Equation at the end of step  5  :

   22          
  (—— +  1) +  1
   5           

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         1     1 • 5
    1 =  —  =  —————
         1       5  

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 22 + 5     27
 ——————  =  ——
   5        5 

Equation at the end of step  6  :

  27    
  —— +  1
  5     

Step  7  :

Rewriting the whole as an Equivalent Fraction :

 7.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         1     1 • 5
    1 =  —  =  —————
         1       5  

Adding fractions that have a common denominator :

 7.2       Adding up the two equivalent fractions

 27 + 5     32
 ——————  =  ——
   5        5 

Final result :

  32           
  —— = 6.40000 
  5