Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.1" was replaced by "(31/10)".

Step  1  :

            31
 Simplify   ——
            10

Equation at the end of step  1  :

  31    
  —— +  299
  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 :

           299     299 • 10
    299 =  ———  =  ————————
            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:

 31 + 299 • 10     3021
 —————————————  =  ————
      10            10 

Final result :

  3021             
  ———— = 302.10000 
   10