Solution - Reducing fractions to their lowest terms

Step  1  :

            33
 Simplify   ——
            5 

Equation at the end of step  1  :

  33    
  —— -  7
  5     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         7     7 • 5
    7 =  —  =  —————
         1       5  

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 :

 2.2       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:

 33 - (7 • 5)     -2
 ————————————  =  ——
      5           5 

Final result :

  -2            
  —— = -0.40000 
  5