Solution - Reducing fractions to their lowest terms

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

  3    
  — -  750
  5    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

           750     750 • 5
    750 =  ———  =  ———————
            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:

 3 - (750 • 5)     -3747
 —————————————  =  —————
       5             5  

Final result :

  -3747              
  ————— = -749.40000 
    5