To solve the equation \( \frac{8}{6} : \frac{1}{x} \), we first rewrite the division as a multiplication by the reciprocal. The expression can be rewritten as:
\[ \frac{8}{6} \cdot x = \frac{8x}{6} \]
Now, let's simplify \(\frac{8}{6}\):
\[ \frac{8}{6} = \frac{4}{3} \]
Thus, we have:
\[ \frac{4}{3} \cdot x = \frac{4x}{3} \]
If you meant to set this expression equal to something else, let me know! Otherwise, if you're looking to isolate \( x \) in \( \frac{4}{3} : \frac{1}{x} \), we can further explore.
Let me know how you'd like to proceed!