Solution - Reducing fractions to their lowest terms

Step  1  :

             x
 Simplify   ——
            74

Equation at the end of step  1  :

   x    
  —— +  6
  74    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  74  as the denominator :

         6     6 • 74
    6 =  —  =  ——————
         1       74  

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:

 x + 6 • 74     x + 444
 ——————————  =  ———————
     74           74   

Final result :

  x + 444
  ———————
    74