solve for k

Question

If  8k = 4/9 then what is k

Answer 1

                      Hi Stephanie...you can do this...

 

                   8 k =   4

                              __

                              9              Next is to rewrite....

 

 

                 8  k  =   4

               ____      ___

                1             9                      Now  CROSS MULTIPLY the 8k  and 9

 

 

         = 9(8k)   =  4  

 

            72k    =4

          ____    ___

              72     72

 

             k=   4

                   __         Now REDUCE this fraction

                   72                                                                     

 

            k=  1

                ___

                 18                                         

 

           CHECK:

 

             8 (1)   =4

            ____   ____

             (18)     9

 

    =  8   =4

       __   __           Now just REDUCE

       18    9                                                                   

 

           4    =4

         __    ___

          9      9

                           CHECKS!

 

 

                     Hope this helps!

     

Answer 2

Hi Stephanie,

 

If 8k = 4/9 then what is k

 

8k=4

---  ---

1     9

 

multiply both sides by the reciprocal of 8 which is 1/8

 

1  · 8k =  4  ·1

--   ---    ---  ---

8     1      9    8 

 

k=1/18

 

That's it!