Solution - Reducing fractions to their lowest terms

Step  1  :

            4
 Simplify   —
            9

Equation at the end of step  1  :

  4    
  — -  5
  9    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  9  as the denominator :

         5     5 • 9
    5 =  —  =  —————
         1       9  

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:

 4 - (5 • 9)     -41
 ———————————  =  ———
      9           9 

Final result :

  -41            
  ——— = -4.55556 
   9