Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "26.25" was replaced by "(2625/100)".

Step  1  :

            105
 Simplify   ———
             4 

Equation at the end of step  1  :

  105    
  ——— +  14
   4     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

          14     14 • 4
    14 =  ——  =  ——————
          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:

 105 + 14 • 4     161
 ————————————  =  ———
      4            4 

Final result :

  161            
  ——— = 40.25000 
   4