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The answer is 6. We assume you are converting between teaspoon [US] and ounce [US, liquid]. The SI derived unit for volume is the cubic meter. 1 cubic meter is equal to 202884.135354 tsp, or 33814.0225589 ounces. Note that rounding errors may occur, so always check the results.
Ounce = weight. teaspoon/tablespoon = volume. You're comparing apples and oranges here: weight and volume do not convert to each other, unless you know what you're measuring. An ounce of lead takes up a lot less space than an ounce of water. The modern teaspoon is 5 millilitres (ml) and Tablespoon is 15 ml. One fluid ounce is 29.57353 ml (I am assuming that you are talking about fluid ounces, a measure of volume) Therefore, a Tablespoon is: 15 / 29.57353 = roughly half-an-ounce A teaspoon is one third of a Tablespoon = 1/6 of an ounce. --- In cookbooks, it is common usage to use a capital T for Tablespoon (Tbs) and a small t for teaspoon (ts). But it is not a fixed rule. If you are measuring water (or things with the same density as water), then one teaspoon of water will weigh 1/6 of an ounce (as a weight unit).