Simplify `:`
91.469+39.65-57.255+14.50

Answer

To simplify the expression \( 91.469 + 39.65 - 57.255 + 14.50 \), we will follow these steps:

### Step 1: Group the numbers
First, we can group the numbers into two categories: the numbers we will add and the number we will subtract.

**Group of additions:**
- \( 91.469 \)
- \( 39.65 \)
- \( 14.50 \)

**Group of subtraction:**
- \( 57.255 \)

### Step 2: Align the decimal points
Next, we will align the decimal points of the numbers we are adding. This helps us add them correctly.

```
91.469
+ 39.650
+ 14.500
```

### Step 3: Add the numbers
Now we will add the numbers together:

1. Start from the rightmost column (thousandths):
- \( 9 + 0 + 0 = 9 \)

2. Move to the hundredths column:
- \( 6 + 5 + 0 = 11 \) (write down 1 and carry over 1)

3. Move to the tenths column:
- \( 4 + 9 + 5 + 1 (carry) = 19 \) (write down 9 and carry over 1)

4. Move to the units column:
- \( 1 + 3 + 4 + 1 (carry) = 9 \)

5. Finally, in the hundreds column:
- \( 9 + 0 + 0 = 9 \)

So, the sum of \( 91.469 + 39.65 + 14.50 = 145.619 \).

### Step 4: Subtract the number
Now we will subtract \( 57.255 \) from \( 145.619 \):

```
145.619
- 57.255
```

### Step 5: Align the decimal points for subtraction
Align the numbers again:

1. Start from the rightmost column (thousandths):
- \( 9 - 5 = 4 \)

2. Move to the hundredths column:
- \( 1 - 5 \) (we need to borrow, so it becomes \( 11 - 5 = 6 \))

3. Move to the tenths column:
- \( 5 - 2 = 3 \)

4. Move to the units column:
- \( 4 - 7 \) (we need to borrow again, so it becomes \( 14 - 7 = 7 \))

5. Finally, in the hundreds column:
- \( 1 - 0 = 1 \)

So, \( 145.619 - 57.255 = 88.364 \).

### Final Answer
The simplified result is \( 88.364 \).

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