Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.05" was replaced by "(05/100)".

Step  1  :

             1
 Simplify   ——
            20

Equation at the end of step  1  :

  01
  ——) • 4
  20

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  20  as the denominator :

          1     1 • 20
     1 =  —  =  ——————
          1       20  

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:

 20 + 1     21
 ——————  =  ——
   20       20

Equation at the end of step  2  :

  21
  —— • 4
  20

Step  3  :

                    21
 Divide  10000  by  ——
                    20

Equation at the end of step  3  :

  200000
  —————— • 4
    21  

Step  4  :

Final result :

  800000               
  —————— = 38095.23810 
    21