Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.104" was replaced by "(8104/1000)". 2 more similar replacement(s)

Step  1  :

            1013
 Simplify   ————
            125 

Equation at the end of step  1  :

   3452    1013     
  (———— +  ————) +  3
    10     125      

Step  2  :

            1726
 Simplify   ————
             5  

Equation at the end of step  2  :

   1726    1013     
  (———— +  ————) +  3
    5      125      

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       125 

      Least Common Multiple:
      125 

Calculating Multipliers :

 3.2    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 = 25

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)²   and  (y²+y)/(y+1)³  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.      1726 • 25
   ——————————————————  =   —————————
         L.C.M                125   

   R. Mult. • R. Num.      1013
   ——————————————————  =   ————
         L.C.M             125 

Adding fractions that have a common denominator :

 3.4       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:

 1726 • 25 + 1013     44163
 ————————————————  =  —————
       125             125 

Equation at the end of step  3  :

  44163    
  ————— +  3
   125     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  125  as the denominator :

         3     3 • 125
    3 =  —  =  ———————
         1       125  

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

 44163 + 3 • 125     44538
 ———————————————  =  —————
       125            125 

Final result :

  44538             
  ————— = 356.30400 
   125