Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "918.216" was replaced by "(918216/1000)". 3 more similar replacement(s)

Step  1  :

            114777
 Simplify   ——————
             125  

Equation at the end of step  1  :

   432    413     114777
  (——— +  ———) +  ——————
   100    10       125  

Step  2  :

            413
 Simplify   ———
            10 

Equation at the end of step  2  :

   432    413     114777
  (——— +  ———) +  ——————
   100    10       125  

Step  3  :

            108
 Simplify   ———
            25 

Equation at the end of step  3  :

   108    413     114777
  (——— +  ———) +  ——————
   25     10       125  

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       10 

      Least Common Multiple:
      50 

Calculating Multipliers :

 4.2    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 = 2

   Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

 4.3      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.      108 • 2
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      413 • 5
   ——————————————————  =   ———————
         L.C.M               50   

Adding fractions that have a common denominator :

 4.4       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:

 108 • 2 + 413 • 5     2281
 —————————————————  =  ————
        50              50 

Equation at the end of step  4  :

  2281    114777
  ———— +  ——————
   50      125  

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       125 

      Least Common Multiple:
      250 

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 = 2

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      2281 • 5
   ——————————————————  =   ————————
         L.C.M               250   

   R. Mult. • R. Num.      114777 • 2
   ——————————————————  =   ——————————
         L.C.M                250    

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 2281 • 5 + 114777 • 2     240959
 —————————————————————  =  ——————
          250               250  

Final result :

  240959             
  —————— = 963.83600 
   250