an award given to/an award that is given to
The original sentence is "A Michelin Star is an award given to the best restaurants.", which is a sentence of my book, and I have two questions about the sentence.
Question 1: Is it grammatical to say "A Michelin Star is an award that is given to the best restaurants."?
Question 2: Which one is more natural and is the one that native English speakers would pick? The original one or "A Michelin Star is an award that is given to the best restaurants."?