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"negligible fraction" is a correct and commonly used phrase in written English.
It refers to a very small or insignificant portion of something. You can use it in any sentence where you want to emphasize the smallness or insignificance of a fraction or portion. Here are some examples: - "Despite studying for hours, the student's mistakes were only a negligible fraction of the overall exam." - "The company's profits were down this quarter, but the loss was only a negligible fraction compared to last year's." - "Although the politician promised to lower taxes, the decrease turned out to be a negligible fraction and did not have much impact on citizens' finances."
Exact(54)
The home front is a small subsection, and of this, nursing is a negligible fraction.
Consequently, each cluster contains a negligible fraction of the total number of data points.
Sure, that's almost a negligible fraction of the $42 billion in total revenue Apple logged that quarter.
Domestic timber production, however, supplies only a negligible fraction of demand.
In the 1970s Apollo LLR arrays contributed a negligible fraction of the ranging error budget.
Initially the Apollo LLR arrays contributed a negligible fraction of the ranging error budget.
Similar(6)
Also in the solid breeder blanket concept, a non-negligible fraction of the tritium produced will be in the tritiated water fraction.
We find that un-annotated homologous short ORFs (uhORFs) correspond to a small but non-negligible fraction of the annotated prokaryote proteomes (0.5 3.8%, depending on selection criteria).
Hence, there is a non-negligible fraction of individuals that exit the labor force well before they are 65.
The authors show then that depending on the granularity of the locations, a non-negligible fraction of users may be uniquely identified by only 2 locations.
If n involves non-negligible fraction of N (e.g. >5%), one may use the above expression (11) or introduce the so-called finite population correction factor (FPC) for the calculation of the error [52].
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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