Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.1563" was replaced by "(71563/10000)". 3 more similar replacement(s)

Step  1  :

            71563
 Simplify   —————
            10000

Equation at the end of step  1  :

    5314    6215     71563
  (————— +  ————) +  —————
   10000    1000     10000

Step  2  :

            1243
 Simplify   ————
            200 

Equation at the end of step  2  :

    5314    1243     71563
  (————— +  ————) +  —————
   10000    200      10000

Step  3  :

            2657
 Simplify   ————
            5000

Equation at the end of step  3  :

   2657    1243     71563
  (———— +  ————) +  —————
   5000    200      10000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       5000 

      The right denominator is :       200 

      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 = 1

   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.      2657
   ——————————————————  =   ————
         L.C.M             5000

   R. Mult. • R. Num.      1243 • 25
   ——————————————————  =   —————————
         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:

 2657 + 1243 • 25     8433
 ————————————————  =  ————
       5000           1250

Equation at the end of step  4  :

  8433    71563
  ———— +  —————
  1250    10000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       1250 

      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 = 8

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      8433 • 8
   ——————————————————  =   ————————
         L.C.M              10000  

   R. Mult. • R. Num.      71563
   ——————————————————  =   —————
         L.C.M             10000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 8433 • 8 + 71563     139027
 ————————————————  =  ——————
      10000           10000 

Final result :

  139027            
  —————— = 13.90270 
  10000