Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.2" was replaced by "(52/10)". 4 more similar replacement(s)

Step  1  :

            26
 Simplify   ——
            5 

Equation at the end of step  1  :

    665 534  567  26
  ((———+———)+———)+——
    100 100  100  5 

Step  2  :

            567
 Simplify   ———
            100

Equation at the end of step  2  :

    665    534     567     26
  ((——— +  ———) +  ———) +  ——
    100    100     100     5 

Step  3  :

            267
 Simplify   ———
            50 

Equation at the end of step  3  :

    665    267     567     26
  ((——— +  ———) +  ———) +  ——
    100    50      100     5 

Step  4  :

            133
 Simplify   ———
            20 

Equation at the end of step  4  :

    133    267     567     26
  ((——— +  ———) +  ———) +  ——
    20     50      100     5 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       20 

      The right denominator is :       50 

      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 = 5

   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.      133 • 5
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      267 • 2
   ——————————————————  =   ———————
         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:

 133 • 5 + 267 • 2     1199
 —————————————————  =  ————
        100            100 

Equation at the end of step  5  :

   1199    567     26
  (———— +  ———) +  ——
   100     100     5 

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:

 1199 + 567     883
 ——————————  =  ———
    100         50 

Equation at the end of step  6  :

  883    26
  ——— +  ——
  50     5 

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       5 

      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 = 10

Making Equivalent Fractions :

 7.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      883
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      26 • 10
   ——————————————————  =   ———————
         L.C.M               50   

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 883 + 26 • 10     1143
 —————————————  =  ————
      50            50 

Final result :

  1143            
  ———— = 22.86000 
   50