Question

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

0.375
0.375

2.66
2.66

3.375
3.375

33.75

Answer 1

To convert the mixed number \(3 \frac{3}{8}\) to a decimal, we can first convert the fraction \( \frac{3}{8} \) to a decimal using long division.

1. **Set up the long division** of 3 (the numerator) by 8 (the denominator).
2. Since 3 is less than 8, we add a decimal point and a zero to 3, making it 30.
3. Divide 30 by 8:
- \(8\) goes into \(30\) three times (because \(8 \times 3 = 24\)).
- Subtract \(24\) from \(30\) to get \(6\).
4. Bring down another \(0\) to make it \(60\).
5. Divide \(60\) by \(8\):
- \(8\) goes into \(60\) seven times (because \(8 \times 7 = 56\)).
- Subtract \(56\) from \(60\) to get \(4\).
6. Bring down another \(0\) to make it \(40\).
7. Divide \(40\) by \(8\):
- \(8\) goes into \(40\) five times (because \(8 \times 5 = 40\)).
- Subtract \(40\) from \(40\) to get \(0\).

Now that we have completed the long division, we can summarize our results:

\[
\frac{3}{8} = 0.375
\]

Next, we need to convert the whole number part \(3\) along with the decimal part we found:

\[
3 + 0.375 = 3.375
\]

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

\[
\boxed{3.375}
\]