Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.07" was replaced by "(07/100)".

Step  1  :

             7 
 Simplify   ———
            100

Equation at the end of step  1  :

          7            
  ((1 +  ———) • 20) -  1
         100           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  100  as the denominator :

          1     1 • 100
     1 =  —  =  ———————
          1       100  

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:

 100 + 7     107
 ———————  =  ———
   100       100

Equation at the end of step  2  :

   107          
  (——— • 20) -  1
   100          

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         1     1 • 5
    1 =  —  =  —————
         1       5  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 107 - (5)     102
 —————————  =  ———
     5          5 

Final result :

  102            
  ——— = 20.40000 
   5