Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.56" was replaced by "(56/100)". 3 more similar replacement(s)

Step  1  :

            14
 Simplify   ——
            25

Equation at the end of step  1  :

   192    55564     14
  (——— +  —————) +  ——
   100    1000      25

Step  2  :

            13891
 Simplify   —————
             250 

Equation at the end of step  2  :

   192    13891     14
  (——— +  —————) +  ——
   100     250      25

Step  3  :

            48
 Simplify   ——
            25

Equation at the end of step  3  :

   48    13891     14
  (—— +  —————) +  ——
   25     250      25

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      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 = 10

   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.      48 • 10
   ——————————————————  =   ———————
         L.C.M               250  

   R. Mult. • R. Num.      13891
   ——————————————————  =   —————
         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:

 48 • 10 + 13891     14371
 ———————————————  =  —————
       250            250 

Equation at the end of step  4  :

  14371    14
  ————— +  ——
   250     25

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       25 

      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 = 1

   Right_M = L.C.M / R_Deno = 10

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      14371
   ——————————————————  =   —————
         L.C.M              250 

   R. Mult. • R. Num.      14 • 10
   ——————————————————  =   ———————
         L.C.M               250  

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 14371 + 14 • 10     14511
 ———————————————  =  —————
       250            250 

Final result :

  14511            
  ————— = 58.04400 
   250