Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "19.2" was replaced by "(192/10)". 2 more similar replacement(s)

Step  1  :

            96
 Simplify   ——
            5 

Equation at the end of step  1  :

   26205    96     
  (————— +  ——) +  110
   1000     5      

Step  2  :

            5241
 Simplify   ————
            200 

Equation at the end of step  2  :

   5241    96     
  (———— +  ——) +  110
   200     5      

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       200 

      The right denominator is :       5 

      Least Common Multiple:
      200 

Calculating Multipliers :

 3.2    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 = 40

Making Equivalent Fractions :

 3.3      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.      5241
   ——————————————————  =   ————
         L.C.M             200 

   R. Mult. • R. Num.      96 • 40
   ——————————————————  =   ———————
         L.C.M               200  

Adding fractions that have a common denominator :

 3.4       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:

 5241 + 96 • 40     9081
 ——————————————  =  ————
      200           200 

Equation at the end of step  3  :

  9081    
  ———— +  110
  200     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  200  as the denominator :

           110     110 • 200
    110 =  ———  =  —————————
            1         200   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 9081 + 110 • 200     31081
 ————————————————  =  —————
       200             200 

Final result :

  31081             
  ————— = 155.40500 
   200