Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Step  1  :

            7
 Simplify   —
            2

Equation at the end of step  1  :

   2995          7
  (———— -  4) -  —
   100           2

Step  2  :

            599
 Simplify   ———
            20 

Equation at the end of step  2  :

   599          7
  (——— -  4) -  —
   20           2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

         4     4 • 20
    4 =  —  =  ——————
         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 :

 3.2       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:

 599 - (4 • 20)     519
 ——————————————  =  ———
       20           20 

Equation at the end of step  3  :

  519    7
  ——— -  —
  20     2

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       20 

      The right denominator is :       2 

      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 = 1

   Right_M = L.C.M / R_Deno = 10

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.      519
   ——————————————————  =   ———
         L.C.M             20 

   R. Mult. • R. Num.      7 • 10
   ——————————————————  =   ——————
         L.C.M               20  

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions

 519 - (7 • 10)     449
 ——————————————  =  ———
       20           20 

Final result :

  449            
  ——— = 22.45000 
  20