Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "49.5" was replaced by "(495/10)".

Step  1  :

            99
 Simplify   ——
            2 

Equation at the end of step  1  :

            99
  (102) +  (——)2)
            2 

Step  2  :

 2.1     99 = 32•11

(99)² = (3²•11)² = 3⁴ • 11²

Equation at the end of step  2  :

           (34•112)
  (102) +  ————————
              22   

Step  3  :

 3.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  3  :

             (34•112)
  (22•52) +  ————————
                22   

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2²  as the denominator :

                (22•52)     (22•52) • 22
     (22•52) =  ———————  =  ————————————
                   1             22     

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 :

 4.2       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:

 (22•52) • 4 + 9801     10201
 ——————————————————  =  —————
         4                4  

Final result :

  10201              
  ————— = 2550.25000 
    4