Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.4" was replaced by "(34/10)".

Step  1  :

Equation at the end of step  1  :

          34
  (5•((0-(——•k))-7))•3k21
          10

Step  2  :

            17
 Simplify   ——
            5 

Equation at the end of step  2  :

               17          
  (5 • ((0 -  (—— • k)) -  7)) • 3k21
               5           

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 :

         7     7 • 5
    7 =  —  =  —————
         1       5  

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:

 -17k - (7 • 5)     -17k - 35
 ——————————————  =  —————————
       5                5    

Equation at the end of step  3  :

       (-17k - 35)
  (5 • ———————————) • 3k21
            5     

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -17k - 35  =   -1 • (17k + 35) 

Equation at the end of step  5  :

  (-17k - 35) • 3k21

Step  6  :

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   -17k - 35  =   -1 • (17k + 35) 

Final result :

   +3k21 • (17k + 35)