Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.14" was replaced by "(214/100)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  214    
  ——— +  (23•53)
  100    

Step  2  :

            107
 Simplify   ———
            50 

Equation at the end of step  2  :

  107    
  ——— +  (23•53)
  50     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

               (23•53)     (23•53) • 50
    (23•53) =  ———————  =  ————————————
                  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 :

 3.2       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:

 107 + (23•53) • 50     50107
 ——————————————————  =  —————
         50              50  

Final result :

  50107              
  ————— = 1002.14000 
   50