Answer :
Answer: The correct option is
(C) [tex]\dfrac{1}{16}.[/tex]
Step-by-step explanation: Given that when a number x is multiplied by 6, the result is [tex]\dfrac{3}{8}.[/tex]
We are to find the value of x.
According to the given information, the equation can be written and solved as follows :
[tex]x\times6=\dfrac{3}{8}\\\\\\\Rightarrow x=\dfrac{1}{6}\times\dfrac{3}{8}\\\\\\\Rightarrow x=\dfrac{1}{16}.[/tex]
Thus, the required value of x is [tex]\dfrac{1}{16}.[/tex]
Option (C) is CORRECT.