Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.7" was replaced by "(47/10)". 3 more similar replacement(s)

Step  1  :

            47
 Simplify   ——
            10

Equation at the end of step  1  :

   121    23     47
  (——— -  ——) -  ——
   10     10     10

Step  2  :

            23
 Simplify   ——
            10

Equation at the end of step  2  :

   121    23     47
  (——— -  ——) -  ——
   10     10     10

Step  3  :

            121
 Simplify   ———
            10 

Equation at the end of step  3  :

   121    23     47
  (——— -  ——) -  ——
   10     10     10

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 121 - (23)     49
 ——————————  =  ——
     10         5 

Equation at the end of step  4  :

  49    47
  —— -  ——
  5     10

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       10 

      Least Common Multiple:
      10 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      49 • 2
   ——————————————————  =   ——————
         L.C.M               10  

   R. Mult. • R. Num.      47
   ——————————————————  =   ——
         L.C.M             10

Adding fractions that have a common denominator :

 5.4       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:

 49 • 2 - (47)     51
 —————————————  =  ——
      10           10

Final result :

  51           
  —— = 5.10000 
  10