Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.148" was replaced by "(148/1000)". 3 more similar replacement(s)

Step  1  :

             37
 Simplify   ———
            250

Equation at the end of step  1  :

    154     67      37
  (———— +  ———) +  ———
   1000    100     250

Step  2  :

             67
 Simplify   ———
            100

Equation at the end of step  2  :

    154     67      37
  (———— +  ———) +  ———
   1000    100     250

Step  3  :

             77
 Simplify   ———
            500

Equation at the end of step  3  :

    77     67      37
  (——— +  ———) +  ———
   500    100     250

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       500 

      The right denominator is :       100 

      Least Common Multiple:
      500 

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 = 5

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.       77
   ——————————————————  =   ———
         L.C.M             500

   R. Mult. • R. Num.      67 • 5
   ——————————————————  =   ——————
         L.C.M              500  

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:

 77 + 67 • 5     103
 ———————————  =  ———
     500         125

Equation at the end of step  4  :

  103     37
  ——— +  ———
  125    250

Step  5  :

Calculating the Least Common Multiple :

 5.1    Find the Least Common Multiple

      The left denominator is :       125 

      The right denominator is :       250 

      Least Common Multiple:
      250 

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 = 2

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 5.3      Rewrite the two fractions into equivalent fractions

   L. Mult. • L. Num.      103 • 2
   ——————————————————  =   ———————
         L.C.M               250  

   R. Mult. • R. Num.       37
   ——————————————————  =   ———
         L.C.M             250

Adding fractions that have a common denominator :

 5.4       Adding up the two equivalent fractions

 103 • 2 + 37     243
 ————————————  =  ———
     250          250

Final result :

  243           
  ——— = 0.97200 
  250