Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "42.3" was replaced by "(423/10)".

Step  1  :

            423
 Simplify   ———
            10 

Equation at the end of step  1  :

         423
  459 +  ———
         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 :

            459     459 • 10
     459 =  ———  =  ————————
             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:

 459 • 10 + 423     5013
 ——————————————  =  ————
       10            10 

Final result :

  5013             
  ———— = 501.30000 
   10