Where does “grate” come from?

I need to work through this chain carefully, but I notice some problems that make it impossible to write an accurate sentence. The chain provided has several issues: 1. It lists Proto-Indo-European roots multiple times (gʷerH-, gred-, ger-, ger-) without clear progression 2. Frankish krattōn appears in the middle without clear connection to Latin gratus 3. The chain doesn't show a coherent path from PIE to English "grate" 4. No meanings are supplied for most steps, so I cannot explain sense development A proper etymology chain should show: English word → intermediate language(s) → Latin/Greek → PIE, with each step following logically from the previous. **I cannot write an accurate one-sentence summary** because the chain itself appears malformed or incomplete. To do so would violate the instruction to "state only what the chain supports" and not to

grate (English): a horizontal metal grill through which water,...