Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "20.48" was replaced by "(2048/100)". 2 more similar replacement(s)

Step  1  :

            512
 Simplify   ———
            25 

Equation at the end of step  1  :

          256     512
  (122 +  ———) +  ———
          10      25 

Step  2  :

            128
 Simplify   ———
             5 

Equation at the end of step  2  :

          128     512
  (122 +  ———) +  ———
           5      25 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5  as the denominator :

            122     122 • 5
     122 =  ———  =  ———————
             1         5   

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 :

 3.2       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:

 122 • 5 + 128     738
 —————————————  =  ———
       5            5 

Equation at the end of step  3  :

  738    512
  ——— +  ———
   5     25 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       25 

      Least Common Multiple:
      25 

Calculating Multipliers :

 4.2    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 = 1

Making Equivalent Fractions :

 4.3      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.      738 • 5
   ——————————————————  =   ———————
         L.C.M               25   

   R. Mult. • R. Num.      512
   ——————————————————  =   ———
         L.C.M             25 

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 738 • 5 + 512     4202
 —————————————  =  ————
      25            25 

Final result :

  4202             
  ———— = 168.08000 
   25