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A half of rice, and that's a fact (6)

Ross

I believe the answer is:

cereal

I'm a little stuck... Click here to teach me more about this clue!

'a fact' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

'a half of rice and that's' is the wordplay.
'a half of' suggests halving the letters.
'and' is a charade indicator (letters next to each other).
'that' becomes 'real' (I am not sure about this - if you are sure you should believe this answer much more).
'rice' with half the letters taken is 'ce'.
'ce'+'real'='CEREAL'

Can you help me to learn more?

(Other definitions for cereal that I've seen before include "Grass cultivated for food" , "Breakfast food made from grain" , "11 food, maybe" , "Contents of breakfast bowl" , "Grain used for food" .)

I've seen this clue in the Evening Standard.
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