Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10.41" was replaced by "(1041/100)". 2 more similar replacement(s)

Step  1  :

            1041
 Simplify   ————
            100 

Equation at the end of step  1  :

        125     1041
  (4 +  ———) +  ————
        100     100 

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

        5     1041
  (4 +  —) +  ————
        4     100 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  4  as the denominator :

          4     4 • 4
     4 =  —  =  —————
          1       4  

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:

 4 • 4 + 5     21
 —————————  =  ——
     4         4 

Equation at the end of step  3  :

  21    1041
  —— +  ————
  4     100 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       100 

      Least Common Multiple:
      100 

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 = 25

   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.      21 • 25
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      1041
   ——————————————————  =   ————
         L.C.M             100 

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 21 • 25 + 1041     783
 ——————————————  =  ———
      100           50 

Final result :

  783            
  ——— = 15.66000 
  50