Solution - Reducing fractions to their lowest terms

Step  1  :

 1.1     4 = 22

(4)² = (2²)² = 2⁴

Equation at the end of step  1  :

  (132)    
  ————— -  24
    2      

Step  2  :

Equation at the end of step  2  :

  132    
  ——— -  24
   2     

Step  3  :

            132
 Simplify   ———
             2 

Equation at the end of step  3  :

  169    
  ——— -  24
   2     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

          24     24 • 2
    24 =  ——  =  ——————
          1        2   

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:

 169 - (24 • 2)     137
 ——————————————  =  ———
       2             2 

Final result :

  137            
  ——— = 68.50000 
   2