Solution - Reducing fractions to their lowest terms

Step  1  :

             3
 Simplify   ——
            13

Equation at the end of step  1  :

        3
  1 -  ——
       13

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  13  as the denominator :

          1     1 • 13
     1 =  —  =  ——————
          1       13  

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:

 13 - (3)     10
 ————————  =  ——
    13        13

Final result :

  10           
  —— = 0.76923 
  13