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

1 answer

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.