Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.5" was replaced by "(75/10)". 2 more similar replacement(s)

Step  1  :

            15
 Simplify   ——
            2 

Equation at the end of step  1  :

    165          15     
  ((——— +  2) +  ——) +  4
    10           2      

Step  2  :

            33
 Simplify   ——
            2 

Equation at the end of step  2  :

    33          15     
  ((—— +  2) +  ——) +  4
    2           2      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

         2     2 • 2
    2 =  —  =  —————
         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:

 33 + 2 • 2     37
 ——————————  =  ——
     2          2 

Equation at the end of step  3  :

   37    15     
  (—— +  ——) +  4
   2     2      

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:

 37 + 15     26
 ———————  =  ——
    2        1 

Equation at the end of step  4  :

  26    
  —— +  4
  1     

Step  5  :

Final result :

  30