Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10." was replaced by "(10/1)". 3 more similar replacement(s)

Step  1  :

            10
 Simplify   ——
            1 

Equation at the end of step  1  :

   2456    235
  (———— -  ———) ÷ 10
   100     10 

Step  2  :

            47
 Simplify   ——
            2 

Equation at the end of step  2  :

   2456    47
  (———— -  ——) ÷ 10
   100     2 

Step  3  :

            614
 Simplify   ———
            25 

Equation at the end of step  3  :

   614    47
  (——— -  ——) ÷ 10
   25     2 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       2 

      Least Common Multiple:
      50 

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 = 25

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.      614 • 2
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      47 • 25
   ——————————————————  =   ———————
         L.C.M               50   

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:

 614 • 2 - (47 • 25)     53
 ———————————————————  =  ——
         50              50

Equation at the end of step  4  :

  53
  —— ÷ 10
  50

Step  5  :

         53      
 Divide  ——  by  10
         50      

Final result :

   53           
  ——— = 0.10600 
  500