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The phrase "around a tenth" is correct and usable in written English.
It can be used when estimating a quantity or proportion that is approximately one-tenth of a whole.
Example: "The project is expected to increase sales by around a tenth over the next quarter."
Alternatives: "approximately one-tenth" or "roughly a tenth".
Exact(60)
These have risen steadily since 1998, and in 2013 topped $25 billion, equivalent to around a tenth of GDP.
Twitter's UK ad revenues were around a tenth of Facebook's in 2013 at £38.8m, and dwarfed by Google's £2.5bn.
The World Bank recently helped the government to buy a billion condoms (for 190m inhabitants)—around a tenth of the world's total supply.
What did not fit was the discovery, in 1964, that a few K-longs (around a tenth of a percent of them) were decaying into a mere two pions.
But they are also more susceptible to depression: a fifth to a quarter of women experience depression at some point in their lives, compared with around a tenth of men.
Venture-capital investment in Japan amounts to some $2 billion a year, around a tenth of the figure in America.
Around a tenth are dedicated to prosecuting Pakistan's Kashmir policy.
They are directly responsible for only around a tenth of new building now under way.
Five years ago, Chinese students made up around a tenth of the students at the school.
Around a tenth of the 200,000 population won something; crowds danced in the streets.
Around a tenth of its revenues comes from overseas, mostly from sales to France and Canada.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com