Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "26.45" was replaced by "(2645/100)". 2 more similar replacement(s)

Step  1  :

            529
 Simplify   ———
            20 

Equation at the end of step  1  :

   548    529     
  (——— +  ———) +  4
   100    20      

Step  2  :

            137
 Simplify   ———
            25 

Equation at the end of step  2  :

   137    529     
  (——— +  ———) +  4
   25     20      

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       20 

      Least Common Multiple:
      100 

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 = 4

   Right_M = L.C.M / R_Deno = 5

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.      137 • 4
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      529 • 5
   ——————————————————  =   ———————
         L.C.M               100  

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:

 137 • 4 + 529 • 5     3193
 —————————————————  =  ————
        100            100 

Equation at the end of step  3  :

  3193    
  ———— +  4
  100     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  100  as the denominator :

         4     4 • 100
    4 =  —  =  ———————
         1       100  

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

 3193 + 4 • 100     3593
 ——————————————  =  ————
      100           100 

Final result :

  3593            
  ———— = 35.93000 
  100