Take out 6.345 from 8.1.

Answer

To solve the problem of taking out 6.345 from 8.1, we will perform the subtraction step by step.

### Step-by-Step Solution:

1. **Convert 8.1 to a Decimal with the Same Decimal Places**:
To make subtraction easier, we can express 8.1 as 8.100 (adding two zeros).
So, we have:
\( 8.100 - 6.345 \)

2. **Align the Numbers for Subtraction**:
Write the numbers one under the other, aligning the decimal points:
```
8.100
- 6.345
```

3. **Subtract the Numbers Starting from the Right**:
We will subtract column by column from right to left.

- **Thousandths Place**:
\( 0 - 5 \) → We cannot subtract 5 from 0, so we need to borrow 1 from the hundredths place.
This makes the hundredths place 0 (from 1) and the thousandths place becomes 10.
Now, \( 10 - 5 = 5 \).

- **Hundredths Place**:
Now we have \( 0 - 4 \) (after borrowing, it became 0). Again, we cannot subtract 4 from 0, so we borrow 1 from the tenths place.
The tenths place becomes 0 (from 1) and the hundredths place becomes 10.
Now, \( 10 - 4 = 6 \).

- **Tenths Place**:
Now we have \( 0 - 3 \) (after borrowing, it became 0). We need to borrow again from the units place.
The units place becomes 7 (from 8) and the tenths place becomes 10.
Now, \( 10 - 3 = 7 \).

- **Units Place**:
Now we have \( 7 - 6 = 1 \).

4. **Combine the Results**:
Putting it all together, we have:
```
8.100
- 6.345
---------
1.755
```

So, the final answer is:
**1.755**