Question

Convert 6/32
to a decimal using long division.(1 point)
Responses

0.1875
0.1875

1.875
1.875

6.32
6.32

0.2
0.2

Answer 1

To convert \( \frac{6}{32} \) to a decimal using long division, we can follow these steps:

1. **Set up the long division**: Divide 6 by 32. Since 6 is less than 32, we will add a decimal point and additional zeros to 6 to continue the division.

2. **Start the division**:
- 32 goes into 60 (the first digit after extending 6 with a decimal) one time. So, we write 1 above the division bar.
- Multiply 1 by 32, which gives us 32. Subtract this from 60, which leaves us with 28.

3. **Bring down the next 0** to make it 280:
- 32 goes into 280 eight times (because 32 × 8 = 256). Write 8 above the division bar.
- Subtract 256 from 280, which leaves us with 24.

4. **Bring down another 0** to make it 240:
- 32 goes into 240 seven times (because 32 × 7 = 224). Write 7 above the division bar.
- Subtract 224 from 240, which leaves us with 16.

5. **Bring down another 0** to make it 160:
- 32 goes into 160 five times (because 32 × 5 = 160). Write 5 above the division bar.
- Subtract 160 from 160, which leaves us with 0.

Putting it all together, we have:

\[ 6 \div 32 = 0.1875 \]

So the decimal value of \( \frac{6}{32} \) is **0.1875**.

The correct response is:
**0.1875**