Solve Decimal Addition: 10.6 + 4.5 Step-by-Step

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

• Step 1: Align the numbers by their decimal points.
• Step 2: Add the numbers starting from the right-most column.
• Step 3: Address any carry-over if it occurs.

Now, let's work through each step:
Step 1: Write the numbers $10.6$ and $4.5$ one on top of the other, aligning their decimal points.
Step 2: Start adding from the right-most digit (tenths place in this case): $\begin{array}{c} 10.6 \\ + 4.5 \\ \hline \end{array}$

Add the digits in the tenths column: $6 + 5 = 11$. Write $1$ in the tenths place and carry over $1$ to the ones place.

Continue with the ones column: $0 + 4 + 1$ (carry over) equals $5$.

In the tens column, $1 + 0$ equals $1$.

Putting it all together, the sum is: $\begin{array}{c} 15.1 \\ \end{array}$

Therefore, the solution to the problem is $15.1$.