Convert US tablespoon to UK fluid ounce
Unit definitions
US tablespoon
$3$ US teaspoons are equal to $1$ US tablespoon.
UK fluid ounce
$\frac{1}{160}$ of a UK gallon is a UK fluid ounce.
How to convert US tablespoon to UK fluid ounce
$$\text{Volume}_{\text{oz (uk)}} = \text{Volume}_{\text{tbsp (us)}} \cdot 0.5204213660530257869949781020613318$$
Examples
Example 1
Convert $30.0\ \text{tbsp (us)}$ to $\text{oz (uk)}$.
$$\text{Volume}_{\text{oz (uk)}} = 30.0 \cdot 0.5204213660530257869949781020613318$$
$$\text{Volume}_{\text{oz (uk)}} = 15.612641$$
$$\therefore \ 30.0\ \text{tbsp (us)} = 15.612641 \ \text{oz (uk)}$$
Example 2
Convert $70.0\ \text{tbsp (us)}$ to $\text{oz (uk)}$.
$$\text{Volume}_{\text{oz (uk)}} = 70.0 \cdot 0.5204213660530257869949781020613318$$
$$\text{Volume}_{\text{oz (uk)}} = 36.429496$$
$$\therefore \ 70.0\ \text{tbsp (us)} = 36.429496 \ \text{oz (uk)}$$
Example 3
Convert $100.0\ \text{tbsp (us)}$ to $\text{oz (uk)}$.
$$\text{Volume}_{\text{oz (uk)}} = 100.0 \cdot 0.5204213660530257869949781020613318$$
$$\text{Volume}_{\text{oz (uk)}} = 52.042137$$
$$\therefore \ 100.0\ \text{tbsp (us)} = 52.042137 \ \text{oz (uk)}$$
Example 4
Convert $130.0\ \text{tbsp (us)}$ to $\text{oz (uk)}$.
$$\text{Volume}_{\text{oz (uk)}} = 130.0 \cdot 0.5204213660530257869949781020613318$$
$$\text{Volume}_{\text{oz (uk)}} = 67.654778$$
$$\therefore \ 130.0\ \text{tbsp (us)} = 67.654778 \ \text{oz (uk)}$$
Example 5
Convert $160.0\ \text{tbsp (us)}$ to $\text{oz (uk)}$.
$$\text{Volume}_{\text{oz (uk)}} = 160.0 \cdot 0.5204213660530257869949781020613318$$
$$\text{Volume}_{\text{oz (uk)}} = 83.267419$$
$$\therefore \ 160.0\ \text{tbsp (us)} = 83.267419 \ \text{oz (uk)}$$