Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.04" was replaced by "(04/100)".

Step  1  :

             1
 Simplify   ——
            25

Equation at the end of step  1  :

                 1
  6439 • ((1 +  ——)8)
                25

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  25  as the denominator :

          1     1 • 25
     1 =  —  =  ——————
          1       25  

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 :

 2.2       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:

 25 + 1     26
 ——————  =  ——
   25       25

Equation at the end of step  2  :

          26
  6439 • (——)8)
          25

Step  3  :

 3.1     26 = 2•13

(26)⁸ = (2•13)⁸ = 2⁸ • 13⁸  3.2     25 = 5² (25)⁸ = (5²)⁸ = 5¹⁶

Equation at the end of step  3  :

         (28•138)
  6439 • ————————
           516   

Step  4  :

Final result :

  (47•137•28•138)              
  ——————————————— = 8812.21612 
        516