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The phrase "a different fraction of" is correct and usable in written English.
It can be used when discussing portions or segments that vary from one another in a mathematical or comparative context.
Example: "In the study, we found that a different fraction of participants preferred option A over option B."
Alternatives: "a distinct portion of" or "another segment of".
Exact(9)
This time, a different fraction of tags light up, and another picture is taken.
The same amount of mass has disappeared, though a different fraction of it may have been carried off by the neutrinos.
Note that, while a gray (i.e. energy-independent) correction is applied to each shell, the overall empirical correction for the full HRMA absolute effective area is not energy-independent, since different shells contribute a different fraction of the total effective area at different energies (see Figure 4.3).
Four different solvents were compared, each containing a different fraction of CO2.
Moreover, CTCs are not always present and may represent a different fraction of cells from the bulk metastatic tissue.
Horizontally transferred DNA may have a different fraction of GC than the host genome as a result of different evolutionary pressures [ 6, 24- 26].
Similar(51)
They are represented by a second urn with a possibly different fraction of red balls.
We studied four different systems with different fraction of "C" enrichment, namely 10%, 20 %, 30 % and 40
The two measurements differ for the different fractions of scattered received power.
This paper presents a study on compactness of four different fractions of scrap tyre rubber (A: 0.1 – 1 mm, B: 0.5 – 2 mm, C: 2 – 5 mm and D: 10 – 40 mm) in the standard Proctor test.
Since the optical properties of the substrate and the metal atoms, deposited, are quite different, fractions of a monolayer coverage can easily be detected even in the presence of other reactions like hydrogen evolution.
More suggestions(16)
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a different slice of
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a different share of
a different amount of
a different part of
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a different split of
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a different tranche of
a different proportion of
a different segment of
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a different proportions of
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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