Use long division to convert 5 3/16 to a decimal.

Answer 1

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

Step 1: Write the mixed number as a fraction
5 3/16 can be written as (5 * 16 + 3) / 16 = 83/16

Step 2: Perform the long division
Divide 83 by 16:

5.1875
__________
16 | 83

Start by dividing 83 by 16, the result is 5.

5.????
__________
16 | 83
- 80
__
3

Now, we bring down the 3 and add a decimal point after the 5.

5.
__________
16 | 83
- 80
__
30

Divide 30 by 16, the result is 1.

5.1??
__________
16 | 83
- 80
__
30
- 16
__
14

Now, we bring down the 14 and continue dividing.

5.18??
__________
16 | 83
- 80
__
30
- 16
__
14
- 12
__
20

Divide 20 by 16, the result is 1.

5.187??
__________
16 | 83
- 80
__
30
- 16
__
14
- 12
__
20
- 16
__
4

Since the remainder is 4, we stop the division.

Step 3: Write the result
The decimal representation of 5 3/16 is approximately 5.1875.