multiplication

Question

what number would you multiply by 6 3/4 to get 1

Answer 1

Hi Gloria;

(6 3/4)x=1

[(6)+(3/4)]x=1

[(24/4)+(3/4)]x=1

(27/4)x=1

x=4/27

 

Answer 2

6 3/4 * y = 1

 

where y is the number which multiples 6 3/4 to give 1

 

solving for y; we divide both sides by 6 3/4 remembering 6 3/4 is the sames as 27/4

 

so y = 1 ÷ 27/4

 

y = 4/27

Answer 3

 6 3/ 4  * 1       = 1

              6 3/4

 

 27/4  *    1      = 1

            27 /4

            

   27/4 *    4     = 1

              27

 

    It is written like this, to show the idea of reciprocal, and conversion of one form of number to another,

    which is main source of problem with students, and these basic notions come into picture in high level

     mathematics as well.

 

Answer 4

Easy - put the number in fractional form and then invert:

 

6 3/4=27/4  Therefore multiply 6 3/4 by 4/27