Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "42.28" was replaced by "(4228/100)". 4 more similar replacement(s)

Step  1  :

            1057
 Simplify   ————
             25 

Equation at the end of step  1  :

    4464 4345  4279  1057
  ((————+————)+————)+————
    100  100   100    25 

Step  2  :

            4279
 Simplify   ————
            100 

Equation at the end of step  2  :

    4464    4345     4279     1057
  ((———— +  ————) +  ————) +  ————
    100     100      100       25 

Step  3  :

            869
 Simplify   ———
            20 

Equation at the end of step  3  :

    4464    869     4279     1057
  ((———— +  ———) +  ————) +  ————
    100     20      100       25 

Step  4  :

            1116
 Simplify   ————
             25 

Equation at the end of step  4  :

    1116    869     4279     1057
  ((———— +  ———) +  ————) +  ————
     25     20      100       25 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       20 

      Least Common Multiple:
      100 

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 = 4

   Right_M = L.C.M / R_Deno = 5

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.      1116 • 4
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      869 • 5
   ——————————————————  =   ———————
         L.C.M               100  

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:

 1116 • 4 + 869 • 5     8809
 ——————————————————  =  ————
        100             100 

Equation at the end of step  5  :

   8809    4279     1057
  (———— +  ————) +  ————
   100     100       25 

Step  6  :

Adding fractions which have a common denominator :

 6.1       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:

 8809 + 4279     3272
 ———————————  =  ————
     100          25 

Equation at the end of step  6  :

  3272    1057
  ———— +  ————
   25      25 

Step  7  :

Adding fractions which have a common denominator :

 7.1       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:

 3272 + 1057     4329
 ———————————  =  ————
     25           25 

Final result :

  4329             
  ———— = 173.16000 
   25