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There are 5 tablespoons plus 1 teaspoon in 1/3 cup (US measurement). It's the one cup fraction that doesn't come out to a whole number of tablespoons.
Why it's not a round number: A full US cup holds 16 tablespoons. Dividing 16 by 3 gives 5.33 tablespoons. Since 1 tablespoon = 3 teaspoons, that leftover 0.33 of a tablespoon equals 1 teaspoon. So:
Handy cup-to-tablespoon chart:
Quick tip: If you don't need to be exact (for something like cooking rather than baking), rounding to about 5 tablespoons is close enough. For baking, where precision matters more, use the full 5 tablespoons + 1 teaspoon — or better yet, a 1/3-cup measuring cup.