Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.6" was replaced by "(76/10)". 2 more similar replacement(s)

Step  1  :

            38
 Simplify   ——
            5 

Equation at the end of step  1  :

  133     38
  ——— +  (——)2)
  10      5 

Step  2  :

 2.1     38 = 2•19

(38)² = (2•19)² = 2² • 19²

Equation at the end of step  2  :

  133    (22•192)
  ——— +  ————————
  10        52   

Step  3  :

            133
 Simplify   ———
            10 

Equation at the end of step  3  :

  133    (22•192)
  ——— +  ————————
  10        52   

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       10 

      The right denominator is :       25 

      Least Common Multiple:
      50 

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 = 5

   Right_M = L.C.M / R_Deno = 2

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.      133 • 5
   ——————————————————  =   ———————
         L.C.M               50   

   R. Mult. • R. Num.      1444 • 2
   ——————————————————  =   ————————
         L.C.M                50   

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:

 133 • 5 + 1444 • 2     3553
 ——————————————————  =  ————
         50              50 

Final result :

  3553            
  ———— = 71.06000 
   50