Use long division to convert 316

Question

to a decimal.(1 point)

Answer 1

To convert the fraction \( \frac{3}{16} \) to a decimal using long division, follow these steps:

1. Set up the long division of 3.0000 by 16.
2. Determine how many times 16 fits into 3. It does not, so we place a 0 in the decimal place and consider 30 (adding a decimal 0).
3. 16 goes into 30 once (1), so write 1 above the division bar.
4. Multiply 1 by 16, which equals 16. Subtract 16 from 30, which leaves you with 14.
5. Bring down the next 0, making it 140.
6. 16 goes into 140 eight times (8), write that next to the 1.
7. Multiply 8 by 16, which equals 128. Subtract 128 from 140 to get 12.
8. Bring down the next 0, making it 120.
9. 16 goes into 120 seven times (7), write that next to the 18.
10. Multiply 7 by 16, which equals 112. Subtract 112 from 120 to get 8.
11. Bring down the next 0, making it 80.
12. 16 goes into 80 five times (5), write that next to the 187.
13. Multiply 5 by 16, which equals 80. Subtract 80 from 80 to get 0.

Now that you've reached a remainder of 0, you can stop here.

So, \( \frac{3}{16} \) as a decimal is \( 0.1875 \).