Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.3" was replaced by "(43/10)". 5 more similar replacement(s)

Step  1  :

            43
 Simplify   ——
            10

Equation at the end of step  1  :

      25  14 31     69    43
  (0-(——•(——+——)))+(——•(0-——))
      10  10 10     10    10

Step  2  :

            69
 Simplify   ——
            10

Equation at the end of step  2  :

      25  14 31     69 -43
  (0-(——•(——+——)))+(——•———)
      10  10 10     10 10 

Step  3  :

            31
 Simplify   ——
            10

Equation at the end of step  3  :

      25  14 31    -2967
  (0-(——•(——+——)))+—————
      10  10 10     100 

Step  4  :

            7
 Simplify   —
            5

Equation at the end of step  4  :

         25    7    31       -2967
  (0 -  (—— • (— +  ——))) +  —————
         10    5    10        100 

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

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.      7 • 2
   ——————————————————  =   —————
         L.C.M              10  

   R. Mult. • R. Num.      31
   ——————————————————  =   ——
         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:

 7 • 2 + 31     9
 ——————————  =  —
     10         2

Equation at the end of step  5  :

         25   9      -2967
  (0 -  (—— • —)) +  —————
         10   2       100 

Step  6  :

            5
 Simplify   —
            2

Equation at the end of step  6  :

         5   9      -2967
  (0 -  (— • —)) +  —————
         2   2       100 

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       4 

      The right denominator is :       100 

      Least Common Multiple:
      100 

Calculating Multipliers :

 7.2    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 = 25

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 7.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      -45 • 25
   ——————————————————  =   ————————
         L.C.M               100   

   R. Mult. • R. Num.      -2967
   ——————————————————  =   —————
         L.C.M              100 

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 -45 • 25 + -2967     -1023
 ————————————————  =  —————
       100             25  

Final result :

  -1023             
  ————— = -40.92000 
   25