Heat lime juice and sugar in a small saucepan over medium heat until the sugar is dissolved. Remove from heat and let cool.
Place lime mixture, orange juice, strawberries, tequila and 1 cup of ice in a blender. Blend on high until smooth. Add more ice and blend, as desired.
Dip rim of glasses into extra lime juice and then into salt or sugar, if desired.
Notes
This recipe can be adapted to suit your taste. Add more fruit, ice or sugar, to taste.
You can use agave instead of sugar, if desired.
Storing: Because this frozen margarita is prone to melting quickly, it's best consumed immediately.Freezing: You can freeze any extra margarita in ice cube trays overnight. Then pop out the cubes and store them in a freezer-safe bag or container. Blend them up with more orange juice when you're ready to use them.