Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "39.0625" was replaced by "(390625/10000)". 3 more similar replacement(s)

Step  1  :

            625
 Simplify   ———
            16 

Equation at the end of step  1  :

   3125    15625     625
  (———— -  —————) -  ———
    10      100      16 

Step  2  :

            625
 Simplify   ———
             4 

Equation at the end of step  2  :

   3125    625     625
  (———— -  ———) -  ———
    10      4      16 

Step  3  :

            625
 Simplify   ———
             2 

Equation at the end of step  3  :

   625    625     625
  (——— -  ———) -  ———
    2      4      16 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       4 

      Least Common Multiple:
      4 

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 = 2

   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.      625 • 2
   ——————————————————  =   ———————
         L.C.M                4   

   R. Mult. • R. Num.      625
   ——————————————————  =   ———
         L.C.M              4 

Adding fractions that have a common denominator :

 4.4       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:

 625 • 2 - (625)     625
 ———————————————  =  ———
        4             4 

Equation at the end of step  4  :

  625    625
  ——— -  ———
   4     16 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       16 

      Least Common Multiple:
      16 

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 = 4

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      625 • 4
   ——————————————————  =   ———————
         L.C.M               16   

   R. Mult. • R. Num.      625
   ——————————————————  =   ———
         L.C.M             16 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 625 • 4 - (625)     1875
 ———————————————  =  ————
       16             16 

Final result :

  1875             
  ———— = 117.18750 
   16