Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

        3
  12 -  —
        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

           12     12 • 5
     12 =  ——  =  ——————
           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:

 12 • 5 - (3)     57
 ————————————  =  ——
      5           5 

Final result :

  57            
  —— = 11.40000 
  5