Identify the Fraction: Calculating Blue Shaded Region in a 10-Unit Grid

To solve this problem, we'll follow these steps:

• Step 1: Count the total number of equal sections in the diagram.
• Step 2: Determine how many sections are shaded in blue.
• Step 3: Use the fraction formula $\frac{\text{shaded sections}}{\text{total sections}}$ to find the portion represented by the shaded area.
• Step 4: Convert the fraction to a decimal.

Now, let's work through each step:

Step 1: Upon examining the diagram, we observe that the grid is divided into 10 vertical sections. Each section is presumably equal in area.

Step 2: There is 1 shaded section, which is the first vertical column on the left.

Step 3: Using the fraction formula, the part of the whole represented by the shaded section is $\frac{1}{10}$, because there is 1 shaded section out of 10 total sections.

Step 4: We convert the fraction $\frac{1}{10}$ into its decimal form, which is $0.1$.

Therefore, the solution to the problem is the shaded area represents $0.1$ or $\frac{1}{10}$ of the whole.

This corresponds to choice 3: $0.1$ and $\frac{1}{10}$.