It is very difficult to tell from the pictures but his fins do appear a little ragged around the edges. The best treatment for fin rot is pristine water so you could try increasing the amount of partial water changes you are doing.
If you can answer the following questions it would help us advise you further
What size tank is Moonshine in?
Does he have a filter and a heater?
How long have you have you had him?
Do you test the water, and do you know the numbers for ammonia, nitrite and nitrate levels?
He is in a 5.5g tank he doesn't have a filter but he does have a heater and I've never had a test kit I live very far away from the pet store so i cant buy pets very often that's why I don't have the filter because of the nitrogen cycle. I've had I'm for about 2-3 months.
A filter houses the majority of the good bacteria required for a healthy fish and tank, without one, you will have difficulties creating or maintaining a Nitrogen cycle.
The internet is a source of good and reasonably priced aquarium equipment.
Until you are able to get a filter (which really is an essential piece of equipment for the reasons FishObsessed has stated) try doing 25-30% partial water changes everyday, remembering to temperature match and condition your water.
It's great that you have a heater. Bettas require a temperature of around 78-82F. If kept out of this temperature range for any length of time it can weaken their immune system making them even more susceptible to conditions such as fin rot.
His fins are looking better still not the best but the black has very slightly gone down so the water change is working there are no more tears forming so think he is going to be alright. And yes the nitrogen cycle is something i haven't done I chose not to put a filter because like I said I'm very far away from the pet store and can't go very often. I know about the bioload and things like that. Bettas have low bioloads so I'm very worried about creating an ammonia spike and damaging his health any tips?
Keep up with the water changes, without a filter it is the only way to remove toxic ammonia from the tank.
Additional things that can help are not over feeding, removing uneaten food as soon as possible, and if you haven't already got one, get a gravel syphon, these are great for removing debris from the substrate. If you are unable to get a gravel syphon a turkey blaster does a good job too. Ultimately though getting a filter and cycling it is the best defence against ammonia spikes
Yeah I have a gravel siphon it does it's job. Thanks for the info. He is now trying to eat some of the algae wafer that I have my shrimp I know that's not good for him I do my best to get him away from the piece of algae wafer without scaring the shrimp. I think he is curious because some pieces of the top fin food that i hive him are the exact same color