Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0043" was replaced by "(0043/10000)". 3 more similar replacement(s)

Step  1  :

              43 
 Simplify   —————
            10000

Equation at the end of step  1  :

    43      456        43 
  (———— +  —————) +  —————
   1000    10000     10000

Step  2  :

             57 
 Simplify   ————
            1250

Equation at the end of step  2  :

    43      57        43 
  (———— +  ————) +  —————
   1000    1250     10000

Step  3  :

             43 
 Simplify   ————
            1000

Equation at the end of step  3  :

    43      57        43 
  (———— +  ————) +  —————
   1000    1250     10000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       1000 

      The right denominator is :       1250 

      Least Common Multiple:
      5000 

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 = 5

   Right_M = L.C.M / R_Deno = 4

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.      43 • 5
   ——————————————————  =   ——————
         L.C.M              5000 

   R. Mult. • R. Num.      57 • 4
   ——————————————————  =   ——————
         L.C.M              5000 

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:

 43 • 5 + 57 • 4      443
 ———————————————  =  ————
      5000           5000

Equation at the end of step  4  :

   443      43 
  ———— +  —————
  5000    10000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       10000 

      Least Common Multiple:
      10000 

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.      443 • 2
   ——————————————————  =   ———————
         L.C.M              10000 

   R. Mult. • R. Num.        43 
   ——————————————————  =   —————
         L.C.M             10000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 443 • 2 + 43      929 
 ————————————  =  —————
    10000         10000

Final result :

   929            
  ————— = 0.09290 
  10000