Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

          2
  (51) +  —
          3

Step  2  :

Equation at the end of step  2  :

       2
  5 +  —
       3

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

          5     5 • 3
     5 =  —  =  —————
          1       3  

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 + 2     17
 —————————  =  ——
     3         3 

Final result :

  17           
  —— = 5.66667 
  3