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The phrase "a very large fraction" is correct and usable in written English.
It can be used when discussing a significant portion or percentage of a whole in various contexts, such as statistics, research, or general observations.
Example: "A very large fraction of the population supports the new policy, indicating widespread approval."
Alternatives: "a significant portion" or "a substantial percentage."
Exact(55)
A very large fraction of the patients eventually will die from their disease".
A very large fraction (99.25 percent) of respondents indicated that they were citizens in both waves of the survey.
The agency's Office of Security swears by it, and rejects a very large fraction of job applicants for failing it.
"We're now to the point that a very large fraction of the adult population is obese," Dr. Nissen said.
The reality is that a very large fraction of our workforce is engaged in activities that are on some level routine, repetitive and predictable.
"China receives a very large fraction of its rainfall from water that is recycled from evaporation on land," he told Yale Environment 360.
Similar(5)
Prostate cancer has a low alpha/beta ratio, which means it responds better to very large fractions of radiation given over a shorter period of time.
If additional data, such as year of birth or gender of users would be available - which is common in most datasets - it would be possible to identify very large fractions of the network.
Based on comparative estimations of the contributions of 67 risk factors in 21 world regions, HAP ranked fourth in terms of global burden (second among women, fifth among men) and accounted for very large fractions of the burden in Sub-Saharan Africa, Oceania, and several Asian regions.
A nuclear electric powered spacecraft could dramatically shorten human transit times between planets (less than 3 months to Mars) and propel robotic cargo missions with a very large payload mass fraction.
Because U has a very large delayed neutron fraction (Table 8), replacing LEU with HEU reduces the fast fission portion of U and results, the value of βeff decreases.
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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