To solve this, we need to add 4/5 and 2/3. To do this, we need to find the LCM of 5 and 3. The LCM of 5 and 3 is 15. Now, we multiply 4/5 by 3/3. That gets us 12/15. Now, we multiply 2/3 by 5/5. That gets us 10/15. Now, we add 12/15 and 10/15 (don't add the bottom numbers). This gets us 22/15 quarts of water.