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     18 = 2•32

(18)² = (2•3²)² = 2² • 3⁴

Equation at the end of step  1  :

  314    
  ——— +  (22•34)
  100    

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

  157    
  ——— +  (22•34)
  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 :

               (22•34)     (22•34) • 50
    (22•34) =  ———————  =  ————————————
                  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 + (22•34) • 50     16357
 ——————————————————  =  —————
         50              50  

Final result :

  16357             
  ————— = 327.14000 
   50