Extremely fine. So thin that it can almost not be seen.(adjective)
A very small difference, or advantage, when comparing two items.(adjective)
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Use "razor-thin" in a sentence
"I'm an indie publisher with razor-thin margins, and since the vast majority of my customers are online, it just doesn't make sense to end up with a few cents on the dollar per sale, which is what would happen if I were to get this distributed into bookstores."
"WHAT WENT WRONG: The Cavaliers had a razor-thin margin of error."
"Webb's razor-thin 2006 victory was fueled by the same basic forces that propelled the Democratic takeover of Congress - broad dissatisfaction with President Bush and the Iraq war, and a big move among the state's independent voters."