Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.00285" was replaced by "(00285/100000)". 3 more similar replacement(s)

Step  1  :

              57 
 Simplify   —————
            20000

Equation at the end of step  1  :

     29       277        57 
  (————— +  ——————) +  —————
   10000    100000     20000

Step  2  :

              277 
 Simplify   ——————
            100000

Equation at the end of step  2  :

     29       277        57 
  (————— +  ——————) +  —————
   10000    100000     20000

Step  3  :

              29 
 Simplify   —————
            10000

Equation at the end of step  3  :

     29       277        57 
  (————— +  ——————) +  —————
   10000    100000     20000

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10000 

      The right denominator is :       100000 

      Least Common Multiple:
      100000 

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 = 10

   Right_M = L.C.M / R_Deno = 1

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.      29 • 10
   ——————————————————  =   ———————
         L.C.M             100000 

   R. Mult. • R. Num.        277 
   ——————————————————  =   ——————
         L.C.M             100000

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:

 29 • 10 + 277       567 
 —————————————  =  ——————
    100000         100000

Equation at the end of step  4  :

    567       57 
  —————— +  —————
  100000    20000

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100000 

      The right denominator is :       20000 

      Least Common Multiple:
      100000 

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 = 1

   Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.        567 
   ——————————————————  =   ——————
         L.C.M             100000

   R. Mult. • R. Num.      57 • 5
   ——————————————————  =   ——————
         L.C.M             100000

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 567 + 57 • 5      213 
 ————————————  =  —————
    100000        25000

Final result :

   213            
  ————— = 0.00852 
  25000