Simplify :
16.753 + 4.06 - 13.89

Answer

To simplify the expression \(16.753 + 4.06 - 13.89\), we will follow these steps:

### Step 1: Align the numbers for addition
We will first add \(16.753\) and \(4.06\). To do this, we need to align the decimal points:

```
16.753
+ 4.060
```

### Step 2: Add the numbers
Now, we will add the numbers column by column, starting from the rightmost side:

- In the thousandths place: \(3 + 0 = 3\)
- In the hundredths place: \(5 + 6 = 11\) (write down 1 and carry over 1)
- In the tenths place: \(7 + 0 + 1 (carry) = 8\)
- In the units place: \(6 + 4 = 10\) (write down 0 and carry over 1)
- In the tens place: \(1 + 1 (carry) = 2\)

So, the result of the addition is:

```
20.813
```

### Step 3: Write down the result of the addition
Now we have:

\[ 20.813 \]

### Step 4: Subtract \(13.89\) from \(20.813\)
Next, we will subtract \(13.89\) from \(20.813\). We need to align the decimal points again:

```
20.813
- 13.890
```

### Step 5: Subtract the numbers
Now we will subtract column by column:

- In the thousandths place: \(3 - 0 = 3\)
- In the hundredths place: \(1 - 9\) (we need to borrow, so we take 1 from the tenths place, making it \(7\) and turning \(1\) into \(11\)): \(11 - 9 = 2\)
- In the tenths place: \(7 - 8\) (again, we need to borrow, so we take 1 from the units place, making it \(0\) and turning \(7\) into \(17\)): \(17 - 8 = 9\)
- In the units place: \(0 - 3\) (we need to borrow again, so we take 1 from the tens place, making it \(1\) and turning \(0\) into \(10\)): \(10 - 3 = 7\)
- In the tens place: \(1 - 1 = 0\)

So, the result of the subtraction is:

```
6.623
```

### Final Result
The simplified result of \(16.753 + 4.06 - 13.89\) is:

\[ \boxed{6.623} \]