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The phrase "a slice of a pie" is correct and usable in written English.
It can be used metaphorically to refer to a portion of something, often in the context of sharing or dividing resources or opportunities.
Example: "In the competitive job market, everyone wants a slice of the pie, but only a few will succeed."
Alternatives: "a piece of the pie" or "a share of the pie".
Exact(1)
In return, William Morris gets a slice of a pie sweeter than most movie studio deals: the animators retain control over the rights to their characters, including licensing for consumer products, plus cash and equity.
Similar(59)
The Napoli claims are just a slice of a huge pie.
The National Science Foundation has traditionally supported the most research in the field, but more than a dozen agencies have a slice of a $3.5 billion pie.
That will leave people with disabilities fighting for a slice of a shrinking pie and it will pit them against against other people in need.
Dropbox, he believes, has a slice of a rapidly growing pie.
When a movie gets played on a TV station the producers, distributors, talent and more all get a slice of a complex economic pie – and it adds up.
They're already battling for a slice of a relatively small pie (the people who will want/care about smartwatches this early on).
For who doesn't want to get a slice of a multi-billion-dollar pie?
But this year, a movie grabbed a slice of the pie.
After Gray mowed the lawn, man and boy would share a slice of pecan pie and a game of cribbage.
When a slice of pizza pie reminds you more of a Moon Pie, just what is that?
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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