Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.13" was replaced by "(413/100)".

Step  1  :

            413
 Simplify   ———
            100

Equation at the end of step  1  :

  413    
  ——— +  105
  100    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  100  as the denominator :

           105     105 • 100
    105 =  ———  =  —————————
            1         100   

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:

 413 + 105 • 100     10913
 ———————————————  =  —————
       100            100 

Final result :

  10913             
  ————— = 109.13000 
   100