Prepare the strawberry juice with a juicer or a food mill.
Juice the strawberries according to the manufacturer's directions.
Prepare the strawberry juice with a food processor or blender
Add the strawberries to a food processor bowl fitted with the metal blade or in the bowl of a high speed blender. Puree until smooth and liquified, stopping to scrape down the sides a few times.
Transfer the puree to a fine mesh sieve or a nut milk bag, pressing on the solids to get as much juice as possible, without the seeds. You want ½ cup strawberry juice.
To prepare the lemonade
Combine the strawberry juice, lemon juice, and sugar in a large pitcher and stir until well blended and then sugar is dissolved. Stir in the water to taste. Adjust by adding more sugar or lemon juice to suit your preferences.
Serve over ice or chill prior to serving.
Notes
Very ripe strawberries will give you more juice than slightly green or just ripe berries. Promptly store leftovers in an airtight container in the refrigerator, for up to 3 days.Nutritional values are approximate and based on 1 cup lemonade.Leftover strawberry pulp and puree can be added to smoothies or baked good recipes. You can freeze it in ice cube trays until you're ready to use it up.