Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.1" was replaced by "(91/10)".

Step  1  :

            91
 Simplify   ——
            10

Equation at the end of step  1  :

   91            
  (—— +  111) +  30
   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 :

           111     111 • 10
    111 =  ———  =  ————————
            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:

 91 + 111 • 10     1201
 —————————————  =  ————
      10            10 

Equation at the end of step  2  :

  1201    
  ———— +  30
   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 :

          30     30 • 10
    30 =  ——  =  ———————
          1        10   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 1201 + 30 • 10     1501
 ——————————————  =  ————
       10            10 

Final result :

  1501             
  ———— = 150.10000 
   10