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The phrase "a reasonably large fraction" is correct and usable in written English.
It can be used when discussing a significant portion or percentage of a whole, often in contexts involving statistics or analysis.
Example: "In our survey, a reasonably large fraction of respondents indicated that they prefer online shopping over in-store shopping."
Alternatives: "a significant portion" or "a considerable percentage".
Exact(1)
Tensile testing at 673 K gave superplastic ductilities provided samples were pressed through a sufficient number of passes to achieve a reasonably large fraction of high-angle boundaries.
Similar(59)
Therefore, immunization with analog peptides is still justified since reasonably large fractions (>50%) of the induced T cells can recognize tumor cells 39.
The newly designed alloy showed good processability with rheo-processing in terms of good control of solid fraction during processing and a reasonably large processing window.
(Tórshavn is about the size of a reasonably large field).
It comes from a strong polling firm, and had a reasonably large sample size.
That is a reasonably large error, even if it did not reverse the outcome.
Regardless, Mazda did an excellent job of packaging, even including a reasonably large trunk.
During the 18th century, astronomers had measured the proper motions of a reasonably large number of stars.
Only in the plains of Thessalía, Makedonía, and Thráki is cultivation possible on a reasonably large scale.
"There's a reasonably large disconnect between reality and the models," Anderegg says.
The ray paths cover a reasonably large part of the outer core (Fig. 6a).
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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