Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)". 2 more similar replacement(s)

Step  1  :

            9
 Simplify   —
            2

Equation at the end of step  1  :

  39     9
  —— +  (—)2)
  10     2

Step  2  :

 2.1     9 = 32

(9)² = (3²)² = 3⁴

Equation at the end of step  2  :

  39    34
  —— +  ——
  10    22

Step  3  :

            39
 Simplify   ——
            10

Equation at the end of step  3  :

  39    34
  —— +  ——
  10    22

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       4 

      Least Common Multiple:
      20 

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 = 2

   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.      39 • 2
   ——————————————————  =   ——————
         L.C.M               20  

   R. Mult. • R. Num.      81 • 5
   ——————————————————  =   ——————
         L.C.M               20  

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:

 39 • 2 + 81 • 5     483
 ———————————————  =  ———
       20            20 

Final result :

  483            
  ——— = 24.15000 
  20