Calculate the value of the expression 1/3.55 + 4 * 0.0028

$$\frac{1}{3.55}$$

To make the division easier, we can write 3.55 as $\frac{355}{100}$.

$$\frac{1}{3.55} = \frac{1}{\frac{355}{100}} = \frac{100}{355}$$

Now, perform the division:

$$\frac{100}{355} \approx 0.28169014...$$

Rounding to a reasonable number of decimal places, for example, 5 decimal places:

$$\frac{1}{3.55} \approx 0.28169$$

$$0.28169 + 0.0112$$ $$0.28169 + 0.0112 = 0.29289$$

The value of the expression is approximately 0.29289.

$$\frac{1}{3.55} + 4 \times 0.0028 \approx \boxed{0.29289}$$