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The phrase "a fraction of this" is correct and usable in written English.
It can be used when referring to a small part or portion of something larger.
Example: "While the project was ambitious, we only managed to complete a fraction of this within the given timeframe."
Alternatives: "a small part of this" or "a portion of this".
Exact(60)
Only a fraction of this is used to make loans.
If only a fraction of this attention was paid to the daily carnage on our roads.
If the jury believes even a fraction of this evidence, it could easily find reasonable doubt.
Only a fraction of this debt, about $7 billion, is corporate bonds.
Other industrialized countries provide universal care for a fraction of this amount.
"The government targets benefit fraudsters, but that bill is a fraction of this figure.
And yet few standups have come close to capturing a fraction of this creative energy in a book.
A couple of quid saved elsewhere, for food a fraction of this quality, would be a false economy.
Compared with Earth, the colonists will live out their entire lives with a fraction of this exposure.
It was the same in South America, where I only covered a fraction of this wonderful place.
Only a fraction of this force survived the Long March in retreat from the Nationalists.
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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