Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)". 4 more similar replacement(s)

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

    314 196  201  1
  ((———+———)+———)+—
    100 100  10   5

Step  2  :

            201
 Simplify   ———
            10 

Equation at the end of step  2  :

    314    196     201     1
  ((——— +  ———) +  ———) +  —
    100    100     10      5

Step  3  :

            49
 Simplify   ——
            25

Equation at the end of step  3  :

    314    49     201     1
  ((——— +  ——) +  ———) +  —
    100    25     10      5

Step  4  :

            157
 Simplify   ———
            50 

Equation at the end of step  4  :

    157    49     201     1
  ((——— +  ——) +  ———) +  —
    50     25     10      5

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       25 

      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 = 1

   Right_M = L.C.M / R_Deno = 2

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.      157
   ——————————————————  =   ———
         L.C.M             50 

   R. Mult. • R. Num.      49 • 2
   ——————————————————  =   ——————
         L.C.M               50  

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:

 157 + 49 • 2     51
 ————————————  =  ——
      50          10

Equation at the end of step  5  :

   51    201     1
  (—— +  ———) +  —
   10    10      5

Step  6  :

Adding fractions which have a common denominator :

 6.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 51 + 201     126
 ————————  =  ———
    10         5 

Equation at the end of step  6  :

  126    1
  ——— +  —
   5     5

Step  7  :

Adding fractions which have a common denominator :

 7.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 126 + 1     127
 ———————  =  ———
    5         5 

Final result :

  127            
  ——— = 25.40000 
   5