Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.89" was replaced by "(89/100)".

Step  1  :

             89
 Simplify   ———
            100

Equation at the end of step  1  :

         89
  1 -  (———)2)
        100

Step  2  :

 2.1     100 = 2²•5² (100)² = (2²•5²)² = 2⁴ • 5⁴

Equation at the end of step  2  :

         892  
  1 -  ———————
       (24•54)

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2⁴ • 5⁴  as the denominator :

          1     1 • (24•54)
     1 =  —  =  ———————————
          1       (24•54)  

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

Calculating Multipliers :

 3.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 2⁴ • 5⁴

   Right_M = L.C.M / R_Deno = 1

Adding fractions that have a common denominator :

 3.3       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:

 (24•54) - (7921)     24•54 - 7921
 ————————————————  =  ————————————
     (24•54)            (24•54)   

Final result :

  1 - 7921
  ————————
  (24•54)