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The phrase "a total of five recommendations" is correct and usable in written English.
It can be used when specifying the exact number of recommendations being made or provided in a particular context.
Example: "After reviewing the report, I have compiled a total of five recommendations for improving our processes."
Alternatives: "five recommendations in total" or "a sum of five recommendations".
Exact(1)
The NTSB report included a total of five recommendations for the FAA.
Similar(59)
The discussion provided a total of six strategic recommendations which would help to address these questions.
A total of sixteen key recommendations were derived from these four guidelines (varying between three to five per guideline) (Additional file 1).
Share a total of five items.
Sky had a total of five nominations.
Waters wrote a total of five drafts.
Nighthawk has a total of five inversions.
They seized a total of five pucks.
A total of five animals were used.
A total of sixteen bony landmarks were used, adapted from the recommendations of International Society of Biomechanics (ISB), including both sides of anterior/posterior superior iliac spine, medial/lateral femoral epicondyle, medial/lateral tibial condyle and medial/lateral malleolus [ 19].
A total of fourteen people were wounded.
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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