Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.9" was replaced by "(9/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

   9    
  —— +  (2•5)
  10    

Step  2  :

             9
 Simplify   ——
            10

Equation at the end of step  2  :

   9    
  —— +  (2•5)
  10    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

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

             (2•5)     (2•5) • 10
    (2•5) =  —————  =  ——————————
               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 :

 3.2       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:

 9 + (2•5) • 10     109
 ——————————————  =  ———
       10           10 

Final result :

  109            
  ——— = 10.90000 
  10