Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "41.4" was replaced by "(414/10)".

Step  1  :

            207
 Simplify   ———
             5 

Equation at the end of step  1  :

  207        
  ——— ÷ 3 -  6
   5         

Step  2  :

         207      
 Divide  ———  by  3
          5       

Equation at the end of step  2  :

  69    
  —— -  6
  5     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

         6     6 • 5
    6 =  —  =  —————
         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 :

 3.2       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:

 69 - (6 • 5)     39
 ————————————  =  ——
      5           5 

Final result :

  39           
  —— = 7.80000 
  5