Question

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

2.66
2.66

0.375
0.375

3.375
3.375

33.75

Answer 1

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

1. **Convert the mixed number to an improper fraction**:
\[
3 \frac{3}{8} = \frac{(3 \times 8) + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}
\]

2. **Now, divide 27 by 8 using long division**:
- 8 goes into 27 three times (since \( 8 \times 3 = 24 \)).
- Subtract \( 24 \) from \( 27 \):
\[
27 - 24 = 3
\]
- Since we have a remainder, we can add a decimal point and a zero to the 3, making it 30.
- 8 goes into 30 three times (since \( 8 \times 3 = 24 \)).
- Subtract \( 24 \) from \( 30 \):
\[
30 - 24 = 6
\]
- Again, bring down a zero to make it 60.
- Now, 8 goes into 60 seven times (since \( 8 \times 7 = 56 \)).
- Subtract \( 56 \) from \( 60 \):
\[
60 - 56 = 4
\]
- Bring down a zero again to make it 40.
- 8 goes into 40 five times (since \( 8 \times 5 = 40 \)).
- Subtract \( 40 \) from \( 40 \):
\[
40 - 40 = 0
\]
- Now, we can stop since the remainder is 0.

Putting it all together, you have:
\[
3.375
\]

Thus, \( 3 \frac{3}{8} \) as a decimal is **3.375**.

The correct answer from your list is:
**3.375**.