Ohio law does not allow a minor to petition the court for emancipated. Although you would be emancipated if you were to marry, consent of your parents is required if you are under the age of 18. If you are being abused in your home, I would encourage you to talk to your school counselor. Although you may not be emancipated, there may be other avenues available to help you escape a truly damaging environment.
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I absolutely agree with my colleague. If you're being abused, tell someone. You cannot be emancipated in Ohio unless you marry or join the military and neither is going to happen without parents' consent anyway. God luck to you.
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