Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10.348" was replaced by "(10348/1000)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  10348    
  ————— +  (23•53)
  1000     

Step  2  :

            2587
 Simplify   ————
            250 

Equation at the end of step  2  :

  2587    
  ———— +  (23•53)
  250     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  250  as the denominator :

               (23•53)     (23•53) • 250
    (23•53) =  ———————  =  —————————————
                  1             250     

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:

 2587 + (23•53) • 250     252587
 ————————————————————  =  ——————
         250               250  

Final result :

  252587              
  —————— = 1010.34800 
   250