Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "76.56" was replaced by "(7656/100)". 4 more similar replacement(s)

Step  1  :

            1914
 Simplify   ————
             25 

Equation at the end of step  1  :

    1406 156  12656  1914
  ((————+———)+—————)+————
    100  100   100    25 

Step  2  :

            3164
 Simplify   ————
             25 

Equation at the end of step  2  :

    1406    156     3164     1914
  ((———— +  ———) +  ————) +  ————
    100     100      25       25 

Step  3  :

            39
 Simplify   ——
            25

Equation at the end of step  3  :

    1406    39     3164     1914
  ((———— +  ——) +  ————) +  ————
    100     25      25       25 

Step  4  :

            703
 Simplify   ———
            50 

Equation at the end of step  4  :

    703    39     3164     1914
  ((——— +  ——) +  ————) +  ————
    50     25      25       25 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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 = 2

Making Equivalent Fractions :

 5.3      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.      703
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      39 • 2
   ——————————————————  =   ——————
         L.C.M               50  

Adding fractions that have a common denominator :

 5.4       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:

 703 + 39 • 2     781
 ————————————  =  ———
      50          50 

Equation at the end of step  5  :

   781    3164     1914
  (——— +  ————) +  ————
   50      25       25 

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

Calculating Multipliers :

 6.2    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 = 2

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      781
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      3164 • 2
   ——————————————————  =   ————————
         L.C.M                50   

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 781 + 3164 • 2     7109
 ——————————————  =  ————
       50            50 

Equation at the end of step  6  :

  7109    1914
  ———— +  ————
   50      25 

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

Calculating Multipliers :

 7.2    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 = 2

Making Equivalent Fractions :

 7.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      7109
   ——————————————————  =   ————
         L.C.M              50 

   R. Mult. • R. Num.      1914 • 2
   ——————————————————  =   ————————
         L.C.M                50   

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 7109 + 1914 • 2     10937
 ———————————————  =  —————
       50             50  

Final result :

  10937             
  ————— = 218.74000 
   50