Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.452" was replaced by "(452/1000)". 3 more similar replacement(s)

Step  1  :

            113
 Simplify   ———
            250

Equation at the end of step  1  :

   284    32844     113
  (——— +  —————) +  ———
   10     1000      250

Step  2  :

            8211
 Simplify   ————
            250 

Equation at the end of step  2  :

   284    8211     113
  (——— +  ————) +  ———
   10     250      250

Step  3  :

            142
 Simplify   ———
             5 

Equation at the end of step  3  :

   142    8211     113
  (——— +  ————) +  ———
    5     250      250

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       250 

      Least Common Multiple:
      250 

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 = 50

   Right_M = L.C.M / R_Deno = 1

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.      142 • 50
   ——————————————————  =   ————————
         L.C.M               250   

   R. Mult. • R. Num.      8211
   ——————————————————  =   ————
         L.C.M             250 

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:

 142 • 50 + 8211     15311
 ———————————————  =  —————
       250            250 

Equation at the end of step  4  :

  15311    113
  ————— +  ———
   250     250

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 15311 + 113     7712
 ———————————  =  ————
     250         125 

Final result :

  7712            
  ———— = 61.69600 
  125