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

Answer 1

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

1. Simplify the fraction (if possible):
- The GCD (greatest common divisor) of 6 and 32 is 2.
- Therefore, \( \frac{6}{32} = \frac{3}{16} \).

2. Perform long division of 3 by 16:

- 16 goes into 3, 0 times (so we place a 0 with a decimal point).
- Now, we consider 30 (bring down a zero): 16 goes into 30, 1 time (1 * 16 = 16).
- Subtract 16 from 30 to get 14.
- Bring down another zero to make it 140.
- 16 goes into 140, 8 times (8 * 16 = 128).
- Subtract 128 from 140 to get 12.
- Bring down another zero to get 120.
- 16 goes into 120, 7 times (7 * 16 = 112).
- Subtract 112 from 120 to get 8.
- Bring down another zero to get 80.
- 16 goes into 80, 5 times (5 * 16 = 80).
- Subtracting gives us 0, which means we are done.

Combining all the parts, we find:
- 0.1875

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

The correct response is **0.1875**.