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The phrase "a small reduction in" is correct and usable in written English.
It can be used when discussing a minor decrease in quantity, size, or intensity in various contexts, such as finance, science, or general conversation.
Example: "The study showed a small reduction in the average temperature over the past decade."
Alternatives: "a slight decrease in" or "a minor drop in".
Exact(60)
The authors also found a small reduction in blood pressure in people who had more potassium.
At best, corn ethanol delivers only a small reduction in greenhouse gases compared with gasoline.
For gasoline, it takes only a small reduction in supply to trigger large price hikes.
Early in his Presidency, Obama did initiate a small reduction in our nuclear arsenal.
The players have offered to accept a small reduction in the share of revenue they receive.
One percent added to copper increases its strength and hardness with only a small reduction in electrical conductivity.
"With the release date change of The Good Dinosaur, we have realigned our production and support priorities, which includes a small reduction in our staffing levels".
In a few pilots there was a small reduction in A&E attendances, but the savings were minuscule compared with the amount spent on weekend access.
If a feared downturn failed to occur, for example, a small reduction in interest rates would be less likely to stoke future inflation.
BBC1 would see a small reduction in peak-time entertainment shows and the number of repeats aired in peak time would rise.
Even a small reduction in weapons falling into the wrong hands would also reduce the incentive for homeowners to store guns for self-defense.
More suggestions(22)
a small reduction in the proportion
a small reduction in the velocity
a little reduction in
a small decrease in
a minor reduction in
a small attenuation in
a weak reduction in
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a small diminution in
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a small cell in
a small depot in
a small theater in
a small business in
a small event in
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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