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Divisions created by common parties about Republic (6,9)

Ross

I believe the answer is:

vulgar fractions

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'divisions' is the definition.
Both the definition and answer are plural nouns.
Maybe they are linked in a way I don't understand?

'common parties about republic' is the wordplay.
I cannot really understand how this works, but
'common' could be 'vulgar' (synonyms) and 'vulgar' is located in the answer.
'about' could be 'on' (as in a book 'on' a certain topic) and 'on' is found within the answer.
This explanation may well be incorrect...

'created by' acts as a link.

Can you help me to learn more?

I've seen this clue in The Irish Times.
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