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

Question

Responses

6.32
6.32

0.2
0.2

0.1875
0.1875

1.875

Answer 1

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

1. Set up the division: divide 6 by 32.
2. Since 6 is less than 32, we add a decimal point and a zero to 6, making it 60.
3. 32 goes into 60 one time (1), which gives us \( 32 \times 1 = 32 \).
4. Subtract 32 from 60, resulting in \( 60 - 32 = 28 \).
5. Bring down another zero, making it 280.
6. 32 goes into 280 eight times (8), which gives us \( 32 \times 8 = 256 \).
7. Subtract 256 from 280, resulting in \( 280 - 256 = 24 \).
8. Bring down another zero, making it 240.
9. 32 goes into 240 seven times (7), which gives us \( 32 \times 7 = 224 \).
10. Subtract 224 from 240, resulting in \( 240 - 224 = 16 \).
11. Bring down another zero, making it 160.
12. 32 goes into 160 five times (5), which gives us \( 32 \times 5 = 160 \).
13. Subtract 160 from 160, resulting in \( 160 - 160 = 0 \).

Now, we can compile the results of the long division:

• 1 (from 60)
• 8 (from 280)
• 7 (from 240)
• 5 (from 160)

Putting it all together, we get \( 0.1875 \).

Therefore, \[ \frac{6}{32} = 0.1875 \]

The correct response is 0.1875.