I would like help in the explanation of this equation. 1/3x = 3 5/6

ok, in this equation, there is a mixed fraction
involved

3 5/6 literally means
3+(5/6)

adding them using the same
base

It becomes (3*6+5)/6=23/6 which becomes an improper
fraction

I actually have two interpretations of the
equation

If it is 1/3 * x

Then
The original equation turns out to
be

1/3*x=23/6

multiply 3 to
both sides

x=23/2

if the
equation is 1/(3x)=3 5/6

then the original equation turns
out to be

1/(3x)=
23/6

multiply 3 to both
sides

1/x=23/2

using cross
multiplication

1*2=23*X

divide
by 23 on both sides

X= 2/23