Solution - Reducing fractions to their lowest terms

Step  1  :

            8
 Simplify   —
            5

Equation at the end of step  1  :

  8            
 (—)1) ÷ 5 -  100
  5            

Step  2  :

 2.1     8 = 23

(8)¹ = (2³)¹ = 2³

Equation at the end of step  2  :

  23        
  —— ÷ 5 -  100
  5         

Step  3  :

         23      
 Divide  ——  by  5
         5       

Multiplying exponents :

 3.1    5¹  multiplied by  5¹   = 5^{(1 + 1)} = 5²

Equation at the end of step  3  :

   8    
  —— -  100
  25    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

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

           100     100 • 25
    100 =  ———  =  ————————
            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 :

 4.2       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:

 8 - (100 • 25)     -2492
 ——————————————  =  —————
       25            25  

Final result :

  -2492             
  ————— = -99.68000 
   25