First of all you have to confirm it is ring worm because unless we have proper diagnosis there no any use of unnecessary treatment.So my opinion is that take appointment of doctor on priority basis & confirm the thing is ringworm. If it is ringworm then it is transferred to other person only by intimate contact & for getting infected patient must be susceptible. It is not transferred by air born route & if proper hygienic precautions are taken. If the ring worm is confirmed only topical therapy ( local application ) will not be sufficient & you should have to take oral anti fungal such as Terbinafine plus local anti fungal application such as itraconazole. ( for detail therapy consult your dermatologist) My advice is that do not use bleach as it may not be helpful in ringworm infestation instead use one of the above said anti fungal cream.