I have a skin infection. initially between my toes now its spread to my hand . i thought it was ring worm or athletes foot. ?

Dermatophyte: 2 feet + 1 hand is typical of dermatophyte infection. Maceration of web skin between toes. Scaling of skin along entire soles of feet, often discolored toenails, scaly skin on 1 palm often with discolored nails on 1 hand. This is a fungus. Castellani solution is very useful. Azole creams are helpful [clotrimazole, miconazole, ketoconazole.] Terbinafine is very effective as cream, excellent orally

Quite possibly: would try course of topical antifungal. If no improvement in 2 wks, see dermatologist