Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "126.9" was replaced by "(1269/10)".

Step  1  :

            1269
 Simplify   ————
             10 

Equation at the end of step  1  :

   1269           
  (———— +  12) +  1
    10            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

          12     12 • 10
    12 =  ——  =  ———————
          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:

 1269 + 12 • 10     1389
 ——————————————  =  ————
       10            10 

Equation at the end of step  2  :

  1389    
  ———— +  1
   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 :

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

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 1389 + 10     1399
 —————————  =  ————
    10          10 

Final result :

  1399             
  ———— = 139.90000 
   10