Solution - Reducing fractions to their lowest terms

Step  1  :

            10
 Simplify   ——
            3 

Equation at the end of step  1  :

         10
  270 +  ——
         3 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

            270     270 • 3
     270 =  ———  =  ———————
             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 :

 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:

 270 • 3 + 10     820
 ————————————  =  ———
      3            3 

Final result :

  820             
  ——— = 273.33333 
   3