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The phrase "a fraction of those" is correct and usable in written English.
It can be used when referring to a small part or portion of a larger group or quantity.
Example: "Only a fraction of those who applied were accepted into the program."
Alternatives: "a small portion of those" or "a small number of those".
Exact(58)
Male sterilisation rates are a fraction of those of women.
The museum can hold only a fraction of those.
Only a fraction of those with plaque have curvature, however.
A fraction of those people who might read One Hundred Years of Solitude.
British operations are a fraction of those carried out by the US.
Its rates are a fraction of those at the more elaborate spots.
Naturally, today their numbers were a fraction of those who have been gathering each morning.
Only a fraction of those executed since then have been people convicted of a terrorist attack.
The data cohort is only a fraction of those killed by US drones overall.
He assumes he is seeing only a fraction of those who are actually infected.
And even then, he will sign for only a fraction of those who have been waiting.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com