Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.9" was replaced by "(99/10)".

Step  1  :

            99
 Simplify   ——
            10

Equation at the end of step  1  :

         99
  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 - (99)     901
 ———————————————  =  ———
       10            10 

Final result :

  901            
  ——— = 90.10000 
  10