Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.25" was replaced by "(125/100)". 4 more similar replacement(s)

Step  1  :

            5
 Simplify   —
            4

Equation at the end of step  1  :

    125 125  125  5
  ((———+———)+———)+—
    100 100  100  4

Step  2  :

            5
 Simplify   —
            4

Equation at the end of step  2  :

    125    125     5     5
  ((——— +  ———) +  —) +  —
    100    100     4     4

Step  3  :

            5
 Simplify   —
            4

Equation at the end of step  3  :

    125    5     5     5
  ((——— +  —) +  —) +  —
    100    4     4     4

Step  4  :

            5
 Simplify   —
            4

Equation at the end of step  4  :

    5    5     5     5
  ((— +  —) +  —) +  —
    4    4     4     4

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 5 + 5     5
 —————  =  —
   4       2

Equation at the end of step  5  :

   5    5     5
  (— +  —) +  —
   2    4     4

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       4 

      Least Common Multiple:
      4 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 6.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      5 • 2
   ——————————————————  =   —————
         L.C.M               4  

   R. Mult. • R. Num.      5
   ——————————————————  =   —
         L.C.M             4

Adding fractions that have a common denominator :

 6.4       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:

 5 • 2 + 5     15
 —————————  =  ——
     4         4 

Equation at the end of step  6  :

  15    5
  —— +  —
  4     4

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:

 15 + 5     5
 ——————  =  —
   4        1

Final result :

  5