Solution - Reducing fractions to their lowest terms

Step  1  :

            9
 Simplify   —
            5

Equation at the end of step  1  :

   9          
  (— • 37) +  32
   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 :

          32     32 • 5
    32 =  ——  =  ——————
          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:

 333 + 32 • 5     493
 ————————————  =  ———
      5            5 

Final result :

  493            
  ——— = 98.60000 
   5