Question

Use long division to convert 3 3/8 to a decimal.(1 point)
Responses

0.375
0.375

33.75
33.75

2.66
2.66

3.375

Answer 1

To convert the mixed number \( 3 \frac{3}{8} \) to a decimal using long division, follow these steps:

1. Separate the whole number from the fraction component:
- The whole number is \( 3 \).
- The fraction is \( \frac{3}{8} \).

2. Convert \( \frac{3}{8} \) to decimal:
- Perform the long division of \( 3 \) by \( 8 \).

Here is how the long division looks:

```
0.375
--------
8 | 3.000
- 24 (8 x 3 = 24)
--------
60 (bring down the 0)
- 56 (8 x 7 = 56)
--------
40 (bring down the next 0)
- 32 (8 x 4 = 32)
--------
80 (bring down the next 0)
- 72 (8 x 9 = 72)
--------
8 (bring down the next 0)
```

Continuing this process, you will find that:

\( 3 \div 8 = 0.375 \)

3. Now add the whole number back:
- Combine \( 3 \) and \( 0.375 \):
\[
3 + 0.375 = 3.375
\]

Thus, the decimal equivalent of \( 3 \frac{3}{8} \) is \( 3.375 \).

The correct response is:

**3.375**