Frame rates

Hi, i'm new to video editing in general so if someone is willing to explain me some things regarding frame rates.
1. I have 60fps clip and project settings/timeline set to 60fps. So, what really happens when i slowdown a clip for 50%? If video output of that video is 60fps how can it be slowdown by 50%? Shouldn't the final video output be 30fps to get 50% slowdown?
2. So, i made 50% slowdown video based on parameters i wrote in 1. and it actually works (video is smooth). Now, when i import that video into new project that has 24fps timeline i get where choppy slowmotion. So, what is actually going on here?
Thx.
Pero
1. I have 60fps clip and project settings/timeline set to 60fps. So, what really happens when i slowdown a clip for 50%? If video output of that video is 60fps how can it be slowdown by 50%? Shouldn't the final video output be 30fps to get 50% slowdown?
2. So, i made 50% slowdown video based on parameters i wrote in 1. and it actually works (video is smooth). Now, when i import that video into new project that has 24fps timeline i get where choppy slowmotion. So, what is actually going on here?
Thx.
Pero