Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "50.7" was replaced by "(507/10)". 2 more similar replacement(s)

Step  1  :

            507
 Simplify   ———
            10 

Equation at the end of step  1  :

   624    507     
  (——— +  ———) +  39
   10     10      

Step  2  :

            312
 Simplify   ———
             5 

Equation at the end of step  2  :

   312    507     
  (——— +  ———) +  39
    5     10      

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       5 

      The right denominator is :       10 

      Least Common Multiple:
      10 

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.      312 • 2
   ——————————————————  =   ———————
         L.C.M               10   

   R. Mult. • R. Num.      507
   ——————————————————  =   ———
         L.C.M             10 

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:

 312 • 2 + 507     1131
 —————————————  =  ————
      10            10 

Equation at the end of step  3  :

  1131    
  ———— +  39
   10     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  10  as the denominator :

          39     39 • 10
    39 =  ——  =  ———————
          1        10   

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

 1131 + 39 • 10     1521
 ——————————————  =  ————
       10            10 

Final result :

  1521             
  ———— = 152.10000 
   10