To convert \( 3 \frac{3}{8} \) to a decimal using long division, you need to follow these steps:
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Convert the mixed number to an improper fraction: \[ 3 \frac{3}{8} = \frac{(3 \times 8) + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8} \]
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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.