Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.8" was replaced by "(28/10)".

Step  1  :

            14
 Simplify   ——
            5 

Equation at the end of step  1  :

             14
  3 • ((4 -  ——)3)
             5 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          4     4 • 5
     4 =  —  =  —————
          1       5  

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:

 4 • 5 - (14)     6
 ————————————  =  —
      5           5

Equation at the end of step  2  :

       6
  3 • (—)3)
       5

Step  3  :

 3.1     6 = 2•3

(6)³ = (2•3)³ = 2³ • 3³

Equation at the end of step  3  :

      (23•33)
  3 • ———————
        53   

Step  4  :

Multiplying exponents :

 4.1    3¹  multiplied by  3³   = 3^{(1 + 3)} = 3⁴

Final result :

  648           
  ——— = 5.18400 
  125