Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.34" was replaced by "(134/100)". 3 more similar replacement(s)

Step  1  :

            67
 Simplify   ——
            50

Equation at the end of step  1  :

   466    464     67
  (——— +  ———) +  ——
   100    100     50

Step  2  :

            116
 Simplify   ———
            25 

Equation at the end of step  2  :

   466    116     67
  (——— +  ———) +  ——
   100    25      50

Step  3  :

            233
 Simplify   ———
            50 

Equation at the end of step  3  :

   233    116     67
  (——— +  ———) +  ——
   50     25      50

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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 = 2

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.      233
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      116 • 2
   ——————————————————  =   ———————
         L.C.M               50   

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:

 233 + 116 • 2     93
 —————————————  =  ——
      50           10

Equation at the end of step  4  :

  93    67
  —— +  ——
  10    50

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       50 

      Least Common Multiple:
      50 

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 = 5

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      93 • 5
   ——————————————————  =   ——————
         L.C.M               50  

   R. Mult. • R. Num.      67
   ——————————————————  =   ——
         L.C.M             50

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 93 • 5 + 67     266
 ———————————  =  ———
     50          25 

Final result :

  266            
  ——— = 10.64000 
  25