Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            1

Equation at the end of step  1  :

   5          
  —— -  (0 -  3)
  12          

Step  2  :

             5
 Simplify   ——
            12

Equation at the end of step  2  :

   5    
  —— -  -3
  12    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  12  as the denominator :

          -3     -3 • 12
    -3 =  ——  =  ———————
          1        12   

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:

 5 - (-3 • 12)     41
 —————————————  =  ——
      12           12

Final result :

  41           
  —— = 3.41667 
  12