Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10.045" was replaced by "(10045/1000)".

Step  1  :

            2009
 Simplify   ————
            200 

Equation at the end of step  1  :

        2009          
  (1 -  ———— ÷ 12) -  180
        200           

Step  2  :

         2009      
 Divide  ————  by  12
         200       

Equation at the end of step  2  :

        2009     
  (1 -  ————) -  180
        2400     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2400  as the denominator :

          1     1 • 2400
     1 =  —  =  ————————
          1       2400  

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:

 2400 - (2009)      391
 —————————————  =  ————
     2400          2400

Equation at the end of step  3  :

   391    
  ———— -  180
  2400    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2400  as the denominator :

           180     180 • 2400
    180 =  ———  =  ——————————
            1         2400   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 391 - (180 • 2400)     -431609
 ——————————————————  =  ———————
        2400             2400  

Final result :

  -431609              
  ——————— = -179.83708 
   2400