Question

Use long division to convert 3 3/8 to a decimal.(1 point) Responses 3.375 3.375 33.75 33.75 0.375 0.375 2.66

Answer 1

To convert the mixed number \(3 \frac{3}{8}\) to a decimal, we will first convert it to an improper fraction and then perform the division.

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 we need to perform the long division of \(27\) divided by \(8\).

- 8 goes into 27 three times since \(8 \times 3 = 24\).
- Subtract \(24\) from \(27\), which leaves \(3\).
- Bring down a zero to get \(30\).

- Now, \(8\) goes into \(30\) three times again since \(8 \times 3 = 24\).
- Subtract \(24\) from \(30\), which leaves \(6\).
- Bring down another zero to get \(60\).

- Now, \(8\) goes into \(60\) seven times since \(8 \times 7 = 56\).
- Subtract \(56\) from \(60\), which leaves \(4\).
- Bring down another zero to get \(40\).

- Lastly, \(8\) goes into \(40\) five times since \(8 \times 5 = 40\).
- Subtract \(40\) from \(40\) which leaves \(0\).

Putting it all together, we get:
- The integer part is \(3\),
- The decimal part is \(0.375\).

Thus, \(3 \frac{3}{8} = 3.375\).

So the final answer is:

**3.375**