Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.2" was replaced by "(62/10)". 3 more similar replacement(s)

Step  1  :

            31
 Simplify   ——
            5 

Equation at the end of step  1  :

     129 31  31
  (((———-——)•——)-2)+43
     10  10  5 

Step  2  :

            31
 Simplify   ——
            10

Equation at the end of step  2  :

     129    31    31           
  (((——— -  ——) • ——) -  2) +  43
     10     10    5            

Step  3  :

            129
 Simplify   ———
            10 

Equation at the end of step  3  :

     129    31    31           
  (((——— -  ——) • ——) -  2) +  43
     10     10    5            

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:

 129 - (31)     49
 ——————————  =  ——
     10         5 

Equation at the end of step  4  :

    49   31           
  ((—— • ——) -  2) +  43
    5    5            

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         2     2 • 25
    2 =  —  =  ——————
         1       25  

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:

 1519 - (2 • 25)     1469
 ———————————————  =  ————
       25             25 

Equation at the end of step  5  :

  1469    
  ———— +  43
   25     

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  25  as the denominator :

          43     43 • 25
    43 =  ——  =  ———————
          1        25   

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 1469 + 43 • 25     2544
 ——————————————  =  ————
       25            25 

Final result :

  2544             
  ———— = 101.76000 
   25