Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "111.24" was replaced by "(11124/100)". 3 more similar replacement(s)

Step  1  :

            2781
 Simplify   ————
             25 

Equation at the end of step  1  :

   2172    724     2781
  (———— +  ———) +  ————
   1000    100      25 

Step  2  :

            181
 Simplify   ———
            25 

Equation at the end of step  2  :

   2172    181     2781
  (———— +  ———) +  ————
   1000    25       25 

Step  3  :

            543
 Simplify   ———
            250

Equation at the end of step  3  :

   543    181     2781
  (——— +  ———) +  ————
   250    25       25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       250 

      The right denominator is :       25 

      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 = 1

   Right_M = L.C.M / R_Deno = 10

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.      543
   ——————————————————  =   ———
         L.C.M             250

   R. Mult. • R. Num.      181 • 10
   ——————————————————  =   ————————
         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:

 543 + 181 • 10     2353
 ——————————————  =  ————
      250           250 

Equation at the end of step  4  :

  2353    2781
  ———— +  ————
  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.      2353
   ——————————————————  =   ————
         L.C.M             250 

   R. Mult. • R. Num.      2781 • 10
   ——————————————————  =   —————————
         L.C.M                250   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 2353 + 2781 • 10     30163
 ————————————————  =  —————
       250             250 

Final result :

  30163             
  ————— = 120.65200 
   250