Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "24.456" was replaced by "(24456/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  24456    
  ————— -  (22•52)
  1000     

Step  2  :

            3057
 Simplify   ————
            125 

Equation at the end of step  2  :

  3057    
  ———— -  (22•52)
  125     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  125  as the denominator :

               (22•52)     (22•52) • 125
    (22•52) =  ———————  =  —————————————
                  1             125     

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:

 3057 - ((22•52) • 125)     -9443
 ——————————————————————  =  —————
          125                125 

Final result :

  -9443             
  ————— = -75.54400 
   125