Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

               3
  25 +  (13 +  —)
               5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5  as the denominator :

           13     13 • 5
     13 =  ——  =  ——————
           1        5   

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 • 5 + 3     68
 ——————————  =  ——
     5          5 

Equation at the end of step  2  :

        68
  25 +  ——
        5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  5  as the denominator :

           25     25 • 5
     25 =  ——  =  ——————
           1        5   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 25 • 5 + 68     193
 ———————————  =  ———
      5           5 

Final result :

  193            
  ——— = 38.60000 
   5