Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.9" was replaced by "(29/10)". 2 more similar replacement(s)

Step  1  :

            29
 Simplify   ——
            10

Equation at the end of step  1  :

   98612    29     
  (————— +  ——) +  141000
    100     10     

Step  2  :

            24653
 Simplify   —————
             25  

Equation at the end of step  2  :

   24653    29     
  (————— +  ——) +  141000
    25      10     

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       25 

      The right denominator is :       10 

      Least Common Multiple:
      50 

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 = 5

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.      24653 • 2
   ——————————————————  =   —————————
         L.C.M                50    

   R. Mult. • R. Num.      29 • 5
   ——————————————————  =   ——————
         L.C.M               50  

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:

 24653 • 2 + 29 • 5     49451
 ——————————————————  =  —————
         50              50  

Equation at the end of step  3  :

  49451    
  ————— +  141000
   50      

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

              141000     141000 • 50
    141000 =  ——————  =  ———————————
                1            50     

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

 49451 + 141000 • 50     7099451
 ———————————————————  =  ———————
         50                50   

Final result :

  7099451                
  ——————— = 141989.02000 
    50