Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.82" was replaced by "(482/100)". 3 more similar replacement(s)

Step  1  :

            241
 Simplify   ———
            50 

Equation at the end of step  1  :

    1804          175     241
  ((———— +  1) +  ———) +  ———
    100           10      50 

Step  2  :

            35
 Simplify   ——
            2 

Equation at the end of step  2  :

    1804          35     241
  ((———— +  1) +  ——) +  ———
    100           2      50 

Step  3  :

            451
 Simplify   ———
            25 

Equation at the end of step  3  :

    451          35     241
  ((——— +  1) +  ——) +  ———
    25           2      50 

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         1     1 • 25
    1 =  —  =  ——————
         1       25  

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
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:

 451 + 25     476
 ————————  =  ———
    25        25 

Equation at the end of step  4  :

   476    35     241
  (——— +  ——) +  ———
   25     2      50 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       2 

      Least Common Multiple:
      50 

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 = 2

   Right_M = L.C.M / R_Deno = 25

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.      476 • 2
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      35 • 25
   ——————————————————  =   ———————
         L.C.M               50   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 476 • 2 + 35 • 25     1827
 —————————————————  =  ————
        50              50 

Equation at the end of step  5  :

  1827    241
  ———— +  ———
   50     50 

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:

 1827 + 241     1034
 ——————————  =  ————
     50          25 

Final result :

  1034            
  ———— = 41.36000 
   25