Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "747.2" was replaced by "(7472/10)". 4 more similar replacement(s)

Step  1  :

            3736
 Simplify   ————
             5  

Equation at the end of step  1  :

    4373 9794  295  3736
  ((————+————)+———)+————
     10   10   10    5  

Step  2  :

            59
 Simplify   ——
            2 

Equation at the end of step  2  :

    4373    9794     59     3736
  ((———— +  ————) +  ——) +  ————
     10      10      2       5  

Step  3  :

            4897
 Simplify   ————
             5  

Equation at the end of step  3  :

    4373    4897     59     3736
  ((———— +  ————) +  ——) +  ————
     10      5       2       5  

Step  4  :

            4373
 Simplify   ————
             10 

Equation at the end of step  4  :

    4373    4897     59     3736
  ((———— +  ————) +  ——) +  ————
     10      5       2       5  

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       5 

      Least Common Multiple:
      10 

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.      4373
   ——————————————————  =   ————
         L.C.M              10 

   R. Mult. • R. Num.      4897 • 2
   ——————————————————  =   ————————
         L.C.M                10   

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:

 4373 + 4897 • 2     14167
 ———————————————  =  —————
       10             10  

Equation at the end of step  5  :

   14167    59     3736
  (————— +  ——) +  ————
    10      2       5  

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       2 

      Least Common Multiple:
      10 

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 = 5

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      14167
   ——————————————————  =   —————
         L.C.M              10  

   R. Mult. • R. Num.      59 • 5
   ——————————————————  =   ——————
         L.C.M               10  

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 14167 + 59 • 5     7231
 ——————————————  =  ————
       10            5  

Equation at the end of step  6  :

  7231    3736
  ———— +  ————
   5       5  

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:

 7231 + 3736     10967
 ———————————  =  —————
      5            5  

Final result :

  10967              
  ————— = 2193.40000 
    5