Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.2" was replaced by "(42/10)".

Step  1  :

            21
 Simplify   ——
            5 

Equation at the end of step  1  :

   21           
  (—— +  42) +  420
   5            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

          42     42 • 5
    42 =  ——  =  ——————
          1        5   

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:

 21 + 42 • 5     231
 ———————————  =  ———
      5           5 

Equation at the end of step  2  :

  231    
  ——— +  420
   5     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

           420     420 • 5
    420 =  ———  =  ———————
            1         5   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 231 + 420 • 5     2331
 —————————————  =  ————
       5            5  

Final result :

  2331             
  ———— = 466.20000 
   5