Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.1" was replaced by "(11/10)".

Step  1  :

            11
 Simplify   ——
            10

Equation at the end of step  1  :

          11     
  (349 +  ——) +  100
          10     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

            349     349 • 10
     349 =  ———  =  ————————
             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:

 349 • 10 + 11     3501
 —————————————  =  ————
      10            10 

Equation at the end of step  2  :

  3501    
  ———— +  100
   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 :

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

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 3501 + 100 • 10     4501
 ———————————————  =  ————
       10             10 

Final result :

  4501             
  ———— = 450.10000 
   10