Find the difference between 3.47777. and 2.8588…..

Answer

To find the difference between the two numbers 3.47777... and 2.8588..., we will follow these steps:

### Step 1: Write the numbers in a clear decimal form
The first number is 3.47777... (where 7 is repeating) and the second number is 2.8588... (where 8 is repeating).

### Step 2: Align the numbers for subtraction
We will align the numbers by their decimal points:
```
3.47777...
- 2.85888...
```

### Step 3: Prepare for subtraction
Since we have repeating decimals, we can consider the first few digits for our subtraction. We will treat them as:
```
3.47777
- 2.85888
```

### Step 4: Start subtracting from the rightmost digit
1. **Subtract the last digit**:
- 7 - 8: We cannot subtract 8 from 7, so we need to borrow from the next digit.
- Borrow 1 from the next digit (7 becomes 6), making 7 into 17.
- Now, 17 - 8 = 9.

2. **Next digit**:
- 6 - 8: Again, we cannot subtract 8 from 6, so we borrow again.
- Borrow 1 from the next digit (7 becomes 6), making 6 into 16.
- Now, 16 - 8 = 8.

3. **Next digit**:
- 6 - 8: We cannot subtract again, so we borrow.
- Borrow 1 from the next digit (4 becomes 3), making 6 into 16.
- Now, 16 - 8 = 8.

4. **Next digit**:
- 3 - 5: We cannot subtract 5 from 3, so we borrow.
- Borrow 1 from the next digit (4 becomes 3), making 3 into 13.
- Now, 13 - 5 = 8.

5. **Next digit**:
- 3 - 2 = 1.

### Step 5: Combine the results
Now we can write down the result of our subtraction:
```
3.47777
- 2.85888
-----------
0.61889
```

### Final Answer
The difference between 3.47777... and 2.8588... is **0.61889**.

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