Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

     2         3           
  (((— • 13) • —) • 13) -  10
     5         5           

Step  2  :

            2
 Simplify   —
            5

Equation at the end of step  2  :

     2         3           
  (((— • 13) • —) • 13) -  10
     5         5           

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  25  as the denominator :

          10     10 • 25
    10 =  ——  =  ———————
          1        25   

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:

 1014 - (10 • 25)     764
 ————————————————  =  ———
        25            25 

Final result :

  764            
  ——— = 30.56000 
  25