Solution - Reducing fractions to their lowest terms

Step  1  :

            12
 Simplify   ——
            5 

Equation at the end of step  1  :

  21    12
  —— +  ——
  7     5 

Step  2  :

            3
 Simplify   —
            1

Equation at the end of step  2  :

       12
  3 +  ——
       5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

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

          3     3 • 5
     3 =  —  =  —————
          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 :

 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 + 12     27
 ——————————  =  ——
     5          5 

Final result :

  27           
  —— = 5.40000 
  5