Divide `16.8` in te ratio `5:9.`

Answer

To divide `16.8` in the ratio `5:9`, we can follow these steps:

### Step 1: Understand the Ratio
The ratio `5:9` means that for every `5` parts, there are `9` parts. This gives a total of `5 + 9 = 14` parts.

### Step 2: Calculate the Value of One Part
To find the value of one part, we need to divide the total amount `16.8` by the total number of parts `14`.

\[ \text{Value of one part} = \frac{16.8}{14} \]

### Step 3: Perform the Division
Now, we will perform the division:

\[ \frac{16.8}{14} = 1.2 \]

So, one part is `1.2`.

### Step 4: Calculate Each Part of the Ratio
Now, we calculate the two parts of the ratio:

1. For the first part (5 parts):
\[ 5 \times 1.2 = 6 \]

2. For the second part (9 parts):
\[ 9 \times 1.2 = 10.8 \]

### Step 5: Verify the Sum
To ensure our division is correct, we can verify by adding the two parts together:

\[ 6 + 10.8 = 16.8 \]

This confirms that our calculations are correct.

### Final Answer
Thus, dividing `16.8` in the ratio `5:9` gives us:
- First part: `6`
- Second part: `10.8`

---