Use long division to convert 3/16

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

1. Set up the division by placing 3 under the long division symbol and 16 outside.

2. Since 3 is less than 16, we add a decimal point and a zero to 3, making it 30. We also need to add another zero to continue the division.

3. Divide 30 by 16. The closest multiple of 16 that fits into 30 is 16 (which is \( 16 \times 1 = 16 \)).

4. Write 1 above the division line and subtract 16 from 30:
\[
30 - 16 = 14
\]

5. Bring down the next zero (making it 140).

6. Divide 140 by 16. The closest multiple of 16 is 128 (which is \( 16 \times 8 = 128 \)).

7. Write 8 above the division line and subtract 128 from 140:
\[
140 - 128 = 12
\]

8. Bring down the next zero (making it 120).

9. Divide 120 by 16. The closest multiple of 16 is 112 (which is \( 16 \times 7 = 112 \)).

10. Write 7 above the division line and subtract 112 from 120:
\[
120 - 112 = 8
\]

11. Bring down the next zero (making it 80).

12. Divide 80 by 16. The closest multiple of 16 is 64 (which is \( 16 \times 5 = 80 \)).

13. Write 5 above the division line and subtract 80 from 80:
\[
80 - 80 = 0
\]

Since we have a remainder of 0, we can stop here.

Putting it all together, the decimal representation of \( \frac{3}{16} \) is:

\[
0.1875
\]

Thus, \( \frac{3}{16} = 0.1875 \).