Rinse your mouth with vinegar solution. To prepare this solution you need to add two tablespoons of vinegar, one tablespoon salt in 4 ounces of water. This helps in removing tartar if done regularly.
Use dental picks to remove all hardened tartar from teeth. You can use a lighted magnifying mirror to see the tartar so that you can easily scrape it away. Do this with gentle care so that you do not hurt your gums which will cause infection.