Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Step  1  :

            7
 Simplify   —
            2

Equation at the end of step  1  :

         35           7
  ((6 +  ——) +  6) +  —
         10           2

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

         7           7
  ((6 +  —) +  6) +  —
         2           2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

          6     6 • 2
     6 =  —  =  —————
          1       2  

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:

 6 • 2 + 7     19
 —————————  =  ——
     2         2 

Equation at the end of step  3  :

   19          7
  (—— +  6) +  —
   2           2

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         6     6 • 2
    6 =  —  =  —————
         1       2  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 19 + 6 • 2     31
 ——————————  =  ——
     2          2 

Equation at the end of step  4  :

  31    7
  —— +  —
  2     2

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:

 31 + 7     19
 ——————  =  ——
   2        1 

Final result :

  19