use long division to convert five 3/16 to a decimal

Answer 1

To convert 5 3/16 to a decimal using long division, you can follow these steps:

1. Write 5 as the whole number. Set it aside for now.
2. Write 3 as the numerator inside the division symbol, and 16 as the denominator outside the division symbol. This sets up the division as follows:
__________
16 | 3
3. Divide 3 by 16. Since 16 does not divide evenly into 3, there will be a remainder. Perform the division as follows:
__________
16 | 3.000
- 0
-------
30
- 16
------
14
4. Bring down the 0 from the previous step, and add it to the remainder (14), giving you 140 as the new dividend.
5. Divide 140 by 16:
__________
16 | 3.000
- 0
-------
30
- 16
------
140
- 128
------
12
6. Continue dividing until you reach the desired level of decimal places or the remainder becomes zero. In this case, we want to convert to a decimal, so we can stop when the decimals repeat or when we have the desired accuracy.
__________
16 | 3.000
- 0
-------
30
- 16
------
140
- 128
------
120
- 112
------
80
- 80
-----
0

The remainder has reached zero, which means the division is complete. The quotient is 3.1875.

Therefore, 5 3/16 is equal to 5.1875 as a decimal.