Solution - Reducing fractions to their lowest terms

Step  1  :

Equation at the end of step  1  :

        4     
  (2 • ——) -  32
       13     

Step  2  :

             4
 Simplify   ——
            13

Equation at the end of step  2  :

        4     
  (2 • ——) -  32
       13     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  13  as the denominator :

          32     32 • 13
    32 =  ——  =  ———————
          1        13   

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:

 8 - (32 • 13)     -109
 —————————————  =  ————
      13            13 

Final result :

  -109            
  ———— = -8.38462 
   13