Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.25" was replaced by "(25/100)".

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

   1    
  (— -  x)3
   4    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         x     x • 4
    x =  —  =  —————
         1       4  

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:

 1 - (x • 4)     1 - 4x
 ———————————  =  ——————
      4            4   

Equation at the end of step  2  :

  (1 - 4x)
 (————————)3
     4    

Step  3  :

 3.1     4 = 22

(4)³ = (2²)³ = 2⁶

Final result :

  (1 + 4x)3
  —————————
     26