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Hi, Fred - if you don't want to use Touch ID, you should be able to disable it under Settings > Touch ID & Passcode. Your phone should prompt you for your passcode when you enter that settings menu, and then allow you to toggle off the settings for "iPhone Unlock", "Apple Pay", and "iTunes & App Store".
Alternatively, you can swipe left on each saved fingerprint (usually named Finger 1, Finger 2, etc.) and then tap the red "Delete" button when it appears on the right. Once there are no saved fingerprints, Touch ID will automatically turn off.
Let me know if that addresses your issue, or if you have any trouble completing these steps, and I'll be happy to provide further assistance!