Solution - Reducing fractions to their lowest terms

Step  1  :

             1
 Simplify   ——
            25

Equation at the end of step  1  :

        1         
  (4 • —— ÷ 4) -  5
       25         

Step  2  :

          1      
 Divide  ——  by  4
         25      

Equation at the end of step  2  :

        1      
  (4 • ———) -  5
       100     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  25  as the denominator :

         5     5 • 25
    5 =  —  =  ——————
         1       25  

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:

 1 - (5 • 25)     -124
 ————————————  =  ————
      25           25 

Final result :

  -124            
  ———— = -4.96000 
   25