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Solution - Reducing fractions to their lowest terms

(+b*(3b13+16))/16
(+b*(3b^13+16))/16

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "b1"   was replaced by   "b^1". 

Step  1  :

            b12
 Simplify   ———
             8 

Equation at the end of step  1  :

          3        b12
  b -  (((— • b) • ———) • b)
          2         8 

Step  2  :

            3
 Simplify   —
            2

Equation at the end of step  2  :

          3        b12
  b -  (((— • b) • ———) • b)
          2         8 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  16  as the denominator :

          b     b • 16
     b =  —  =  ——————
          1       16  

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 :

 3.2       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:

 b • 16 - (3b14)     16b - 3b14
 ———————————————  =  ——————————
       16                16    

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   16b - 3b14  =   -b • (3b13 - 16) 

Final result :

  +b • (3b13 + 16)
  ————————————————
         16       

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