Solution - Reducing fractions to their lowest terms

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

   1          
  (— -  4) -  50
   4          

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         4     4 • 4
    4 =  —  =  —————
         1       4  

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:

 1 - (4 • 4)     -15
 ———————————  =  ———
      4           4 

Equation at the end of step  2  :

  -15    
  ——— -  50
   4     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          50     50 • 4
    50 =  ——  =  ——————
          1        4   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 -15 - (50 • 4)     -215
 ——————————————  =  ————
       4             4  

Final result :

  -215             
  ———— = -53.75000 
   4