Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.56" was replaced by "(756/100)". 3 more similar replacement(s)

Step  1  :

            189
 Simplify   ———
            25 

Equation at the end of step  1  :

    296    5342     189     
  ((——— +  ————) +  ———) +  9
    10      10      25      

Step  2  :

            2671
 Simplify   ————
             5  

Equation at the end of step  2  :

    296    2671     189     
  ((——— +  ————) +  ———) +  9
    10      5       25      

Step  3  :

            148
 Simplify   ———
             5 

Equation at the end of step  3  :

    148    2671     189     
  ((——— +  ————) +  ———) +  9
     5      5       25      

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:

 148 + 2671     2819
 ——————————  =  ————
     5           5  

Equation at the end of step  4  :

   2819    189     
  (———— +  ———) +  9
    5      25      

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       25 

      Least Common Multiple:
      25 

Calculating Multipliers :

 5.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 5

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      2819 • 5
   ——————————————————  =   ————————
         L.C.M                25   

   R. Mult. • R. Num.      189
   ——————————————————  =   ———
         L.C.M             25 

Adding fractions that have a common denominator :

 5.4       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:

 2819 • 5 + 189     14284
 ——————————————  =  —————
       25            25  

Equation at the end of step  5  :

  14284    
  ————— +  9
   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 :

         9     9 • 25
    9 =  —  =  ——————
         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 :

 6.2       Adding up the two equivalent fractions

 14284 + 9 • 25     14509
 ——————————————  =  —————
       25            25  

Final result :

  14509             
  ————— = 580.36000 
   25