Process first 5 ingredients in a blender until smooth, stopping to scrape down sides. Pour fruit mixture through a wire-mesh strainer into a pitcher, discarding solids. Stir in 3 cups water. Serve over ice.
Blackberry Lemonade: Substitute 1 (14-ounce) package frozen blackberries, thawed, for frozen raspberries. Proceed as directed. Makes 6 cups.
Cherry-Berry Lemonade: Substitute 1 (16-ounce) package frozen mixed berries, thawed, for frozen raspberries. Proceed as directed, using 2 cups water. Makes 5 cups.
Cherry-Berry Lemonade Pops: Pour Cherry-Berry Lemonade evenly into 14 (4-ounce) plastic pop molds. Insert plastic pop sticks, and freeze 4 hours or until firm. Makes 14 pops.