Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.9" was replaced by "(9/10)". 4 more similar replacement(s)

Step  1  :

             9
 Simplify   ——
            10

Equation at the end of step  1  :

    267 51  13   9
  ((———+——)+——)+——
    100 10  10  10

Step  2  :

            13
 Simplify   ——
            10

Equation at the end of step  2  :

    267    51     13      9
  ((——— +  ——) +  ——) +  ——
    100    10     10     10

Step  3  :

            51
 Simplify   ——
            10

Equation at the end of step  3  :

    267    51     13      9
  ((——— +  ——) +  ——) +  ——
    100    10     10     10

Step  4  :

            267
 Simplify   ———
            100

Equation at the end of step  4  :

    267    51     13      9
  ((——— +  ——) +  ——) +  ——
    100    10     10     10

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       10 

      Least Common Multiple:
      100 

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 = 10

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.      267
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.      51 • 10
   ——————————————————  =   ———————
         L.C.M               100  

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:

 267 + 51 • 10     777
 —————————————  =  ———
      100          100

Equation at the end of step  5  :

   777    13      9
  (——— +  ——) +  ——
   100    10     10

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       10 

      Least Common Multiple:
      100 

Calculating Multipliers :

 6.2    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 :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      777
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.      13 • 10
   ——————————————————  =   ———————
         L.C.M               100  

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 777 + 13 • 10     907
 —————————————  =  ———
      100          100

Equation at the end of step  6  :

  907     9
  ——— +  ——
  100    10

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       100 

      The right denominator is :       10 

      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 = 1

   Right_M = L.C.M / R_Deno = 10

Making Equivalent Fractions :

 7.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      907
   ——————————————————  =   ———
         L.C.M             100

   R. Mult. • R. Num.      9 • 10
   ——————————————————  =   ——————
         L.C.M              100  

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 907 + 9 • 10     997
 ————————————  =  ———
     100          100

Final result :

  997           
  ——— = 9.97000 
  100