Solution - Reducing fractions to their lowest terms

Step  1  :

            c
 Simplify   —
            d

Equation at the end of step  1  :

             c
  f -  (15 • —)
             d

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

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

          f     f • d
     f =  —  =  —————
          1       d  

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:

 f • d - (15c)     fd - 15c
 —————————————  =  ————————
       d              d    

Final result :

  fd - 15c
  ————————
     d