Solution - Reducing fractions to their lowest terms

Step  1  :

            5
 Simplify   —
            1

Equation at the end of step  1  :

   36    
  ——— -  5
  948    

Step  2  :

             3
 Simplify   ——
            79

Equation at the end of step  2  :

   3    
  —— -  5
  79    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  79  as the denominator :

         5     5 • 79
    5 =  —  =  ——————
         1       79  

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:

 3 - (5 • 79)     -392
 ————————————  =  ————
      79           79 

Final result :

  -392            
  ———— = -4.96203 
   79