Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.65" was replaced by "(465/100)". 2 more similar replacement(s)

Step  1  :

            93
 Simplify   ——
            20

Equation at the end of step  1  :

   287    93     
  (——— +  ——) +  12
   10     20     

Step  2  :

            287
 Simplify   ———
            10 

Equation at the end of step  2  :

   287    93     
  (——— +  ——) +  12
   10     20     

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       20 

      Least Common Multiple:
      20 

Calculating Multipliers :

 3.2    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 :

 3.3      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.      287 • 2
   ——————————————————  =   ———————
         L.C.M               20   

   R. Mult. • R. Num.      93
   ——————————————————  =   ——
         L.C.M             20

Adding fractions that have a common denominator :

 3.4       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:

 287 • 2 + 93     667
 ————————————  =  ———
      20          20 

Equation at the end of step  3  :

  667    
  ——— +  12
  20     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  20  as the denominator :

          12     12 • 20
    12 =  ——  =  ———————
          1        20   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 667 + 12 • 20     907
 —————————————  =  ———
      20           20 

Final result :

  907            
  ——— = 45.35000 
  20