Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
5.36
5.36
0.1875
0.1875
5.1875
5.1875
≈5.3
0.1875
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Write down the mixed number: 5 3/16
2. Multiply the whole number (5) by the denominator (16) and add the numerator (3): 5 * 16 + 3 = 80 + 3 = 83
3. Write down the result from step 2 as the numerator of the fraction part: 83/16
4. Perform long division, dividing the numerator (83) by the denominator (16):
```
5.1875
______________
16 | 83.0000
- 80
______
3
- 0
______
30
- 16
______
14
- 0
_____
140
- 128
______
120
- 112
______
80
```
The remainder becomes the numerator of the next step, and the quotient becomes the whole part of the decimal.
5. Continue long division until the desired level of decimal places is reached. In this case, the decimal portion terminates, so we stop here.
6. Write down the final result from step 4 as the converted decimal: 5.1875
Therefore, 5 3/16 as a decimal is approximately 5.1875.