Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.14" was replaced by "(314/100)".

Step  1  :

 1.1     8 = 23

(8)² = (2³)² = 2⁶

Equation at the end of step  1  :

  314    
  ——— +  26
  100    

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

  157    
  ——— +  26
  50     

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  50  as the denominator :

          26     26 • 50
    26 =  ——  =  ———————
          1        50   

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 :

 3.2       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:

 157 + 26 • 50     3357
 —————————————  =  ————
      50            50 

Final result :

  3357            
  ———— = 67.14000 
   50