Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)". 4 more similar replacement(s)

Step  1  :

            16
 Simplify   ——
            5 

Equation at the end of step  1  :

    2645 479  12002  16
  ((————+———)+—————)-——
    100  100   100   5 

Step  2  :

            6001
 Simplify   ————
             50 

Equation at the end of step  2  :

    2645    479     6001     16
  ((———— +  ———) +  ————) -  ——
    100     100      50      5 

Step  3  :

            479
 Simplify   ———
            100

Equation at the end of step  3  :

    2645    479     6001     16
  ((———— +  ———) +  ————) -  ——
    100     100      50      5 

Step  4  :

            529
 Simplify   ———
            20 

Equation at the end of step  4  :

    529    479     6001     16
  ((——— +  ———) +  ————) -  ——
    20     100      50      5 

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       20 

      The right denominator is :       100 

      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 = 5

   Right_M = L.C.M / R_Deno = 1

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.      529 • 5
   ——————————————————  =   ———————
         L.C.M               100  

   R. Mult. • R. Num.      479
   ——————————————————  =   ———
         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:

 529 • 5 + 479     781
 —————————————  =  ———
      100          25 

Equation at the end of step  5  :

   781    6001     16
  (——— +  ————) -  ——
   25      50      5 

Step  6  :

Calculating the Least Common Multiple :

 6.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       50 

      Least Common Multiple:
      50 

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.      781 • 2
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      6001
   ——————————————————  =   ————
         L.C.M              50 

Adding fractions that have a common denominator :

 6.4       Adding up the two equivalent fractions

 781 • 2 + 6001     7563
 ——————————————  =  ————
       50            50 

Equation at the end of step  6  :

  7563    16
  ———— -  ——
   50     5 

Step  7  :

Calculating the Least Common Multiple :

 7.1    Find the Least Common Multiple

      The left denominator is :       50 

      The right denominator is :       5 

      Least Common Multiple:
      50 

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.      7563
   ——————————————————  =   ————
         L.C.M              50 

   R. Mult. • R. Num.      16 • 10
   ——————————————————  =   ———————
         L.C.M               50   

Adding fractions that have a common denominator :

 7.4       Adding up the two equivalent fractions

 7563 - (16 • 10)     7403
 ————————————————  =  ————
        50             50 

Final result :

  7403             
  ———— = 148.06000 
   50