Solution - Reducing fractions to their lowest terms

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

         2
  150 -  —
         5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

            150     150 • 5
     150 =  ———  =  ———————
             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:

 150 • 5 - (2)     748
 —————————————  =  ———
       5            5 

Final result :

  748             
  ——— = 149.60000 
   5