Solution - Reducing fractions to their lowest terms

Step  1  :

             9
 Simplify   ——
            10

Equation at the end of step  1  :

          9
  100 -  ——
         10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

            100     100 • 10
     100 =  ———  =  ————————
             1         10   

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:

 100 • 10 - (9)     991
 ——————————————  =  ———
       10           10 

Final result :

  991            
  ——— = 99.10000 
  10