Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.35" was replaced by "(435/100)". 2 more similar replacement(s)

Step  1  :

            87
 Simplify   ——
            20

Equation at the end of step  1  :

   32    87     
  (—— +  ——) +  6
   10    20     

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

   16    87     
  (—— +  ——) +  6
   5     20     

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       20 

      Least Common Multiple:
      20 

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 = 1

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.      16 • 4
   ——————————————————  =   ——————
         L.C.M               20  

   R. Mult. • R. Num.      87
   ——————————————————  =   ——
         L.C.M             20

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:

 16 • 4 + 87     151
 ———————————  =  ———
     20          20 

Equation at the end of step  3  :

  151    
  ——— +  6
  20     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

         6     6 • 20
    6 =  —  =  ——————
         1       20  

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

 151 + 6 • 20     271
 ————————————  =  ———
      20          20 

Final result :

  271            
  ——— = 13.55000 
  20