Solution - Reducing fractions to their lowest terms

Step  1  :

            5
 Simplify   —
            9

Equation at the end of step  1  :

  51          5
  —— +  (0 -  —)
  3           9

Step  2  :

            17
 Simplify   ——
            1 

Equation at the end of step  2  :

        -5
  17 +  ——
        9 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  9  as the denominator :

           17     17 • 9
     17 =  ——  =  ——————
           1        9   

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:

 17 • 9 + -5     148
 ———————————  =  ———
      9           9 

Final result :

  148            
  ——— = 16.44444 
   9