Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.6325" was replaced by "(26325/10000)". 3 more similar replacement(s)

Step  1  :

            1053
 Simplify   ————
            400 

Equation at the end of step  1  :

   8775    225     1053
  (———— +  ———) +  ————
   1000    100     400 

Step  2  :

            9
 Simplify   —
            4

Equation at the end of step  2  :

   8775    9     1053
  (———— +  —) +  ————
   1000    4     400 

Step  3  :

            351
 Simplify   ———
            40 

Equation at the end of step  3  :

   351    9     1053
  (——— +  —) +  ————
   40     4     400 

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       40 

      The right denominator is :       4 

      Least Common Multiple:
      40 

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 = 10

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.      351
   ——————————————————  =   ———
         L.C.M             40 

   R. Mult. • R. Num.      9 • 10
   ——————————————————  =   ——————
         L.C.M               40  

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:

 351 + 9 • 10     441
 ————————————  =  ———
      40          40 

Equation at the end of step  4  :

  441    1053
  ——— +  ————
  40     400 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       40 

      The right denominator is :       400 

      Least Common Multiple:
      400 

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 = 10

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      441 • 10
   ——————————————————  =   ————————
         L.C.M               400   

   R. Mult. • R. Num.      1053
   ——————————————————  =   ————
         L.C.M             400 

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 441 • 10 + 1053     5463
 ———————————————  =  ————
       400           400 

Final result :

  5463            
  ———— = 13.65750 
  400