Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.5" was replaced by "(85/10)". 2 more similar replacement(s)

Step  1  :

            17
 Simplify   ——
            2 

Equation at the end of step  1  :

      575       17
  ((((———+6)+5)+——)+2)+4
      100       2 

Step  2  :

            23
 Simplify   ——
            4 

Equation at the end of step  2  :

      23                17           
  ((((—— +  6) +  5) +  ——) +  2) +  4
      4                 2            

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

         6     6 • 4
    6 =  —  =  —————
         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:

 23 + 6 • 4     47
 ——————————  =  ——
     4          4 

Equation at the end of step  3  :

     47          17           
  (((—— +  5) +  ——) +  2) +  4
     4           2            

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

         5     5 • 4
    5 =  —  =  —————
         1       4  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 47 + 5 • 4     67
 ——————————  =  ——
     4          4 

Equation at the end of step  4  :

    67    17           
  ((—— +  ——) +  2) +  4
    4     2            

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       2 

      Least Common Multiple:
      4 

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 = 1

   Right_M = L.C.M / R_Deno = 2

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.      67
   ——————————————————  =   ——
         L.C.M             4 

   R. Mult. • R. Num.      17 • 2
   ——————————————————  =   ——————
         L.C.M               4   

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 67 + 17 • 2     101
 ———————————  =  ———
      4           4 

Equation at the end of step  5  :

   101          
  (——— +  2) +  4
    4           

Step  6  :

Rewriting the whole as an Equivalent Fraction :

 6.1   Adding a whole to a fraction

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

         2     2 • 4
    2 =  —  =  —————
         1       4  

Adding fractions that have a common denominator :

 6.2       Adding up the two equivalent fractions

 101 + 2 • 4     109
 ———————————  =  ———
      4           4 

Equation at the end of step  6  :

  109    
  ——— +  4
   4     

Step  7  :

Rewriting the whole as an Equivalent Fraction :

 7.1   Adding a whole to a fraction

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

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

Adding fractions that have a common denominator :

 7.2       Adding up the two equivalent fractions

 109 + 4 • 4     125
 ———————————  =  ———
      4           4 

Final result :

  125            
  ——— = 31.25000 
   4