What is 10% of a half?

A half can be written as a fraction or a decimal.

$$\text{A half} = \frac{1}{2} = 0.5$$

To convert a percentage to a decimal, divide by 100.

$$10\% = \frac{10}{100} = 0.1$$

As a fraction, it is:

$$10\% = \frac{1}{10}$$

The word "of" in mathematics means multiplication.
Using decimals:

$$0.1 \times 0.5 = 0.05$$

Using fractions:

$$\frac{1}{10} \times \frac{1}{2} = \frac{1 \times 1}{10 \times 2} = \frac{1}{20}$$

The result is 0.05 or $\frac{1}{20}$.

The answer is $0.05 \text{ or } \frac{1}{20}$.