Period of the function $\sin (8\pi \{x\})$ My question is to to find the period of 
$$\sin(8\pi\{x\}),$$ 
where $\{\cdot\}$-is the fractional part of function.
I know that the period of $\{\cdot\}$ is 1 and the period of $\sin(8\pi x)$ is $1/4$. But how to find the overall period of the given function? 

$\sin(8 \pi \{x\})
 = \sin(8 \pi ( x - \lfloor x \rfloor))
 = \sin(8 \pi x - 8 \pi \lfloor x \rfloor)
 = \sin(8 \pi x)$,
hence $\sin(8 \pi \{x\})$ has period $\frac{1}{4}$.
