Question

Use long division to convert 5 3/16 to a decimal.(1 point)
Responses

0.1875
0.1875

≈5.3
approximately equals 5.3

5.1875
5.1875

5.36

Answer 1

To convert the mixed number \(5 \frac{3}{16}\) to a decimal using long division, we can follow these steps:

1. Separate the whole number from the fraction: \(5 + \frac{3}{16}\).

2. To convert \(\frac{3}{16}\) to a decimal, we will perform long division, dividing 3 by 16.

Let's set up the long division:

- Divide 3.000000 by 16.

```
0.1875
__________
16 | 3.000000
- 32 (16 x 2 = 32, write 2 above the division line)
________
20
- 16 (16 x 1 = 16, write 1 above)
________
40
- 32 (16 x 2 = 32, write 2 above)
________
80
- 80 (16 x 5 = 80, write 5 above)
________
0
```

The final result from the long division is \(0.1875\).

3. Now, we add this decimal to the whole number part:

\(5 + 0.1875 = 5.1875\).

Therefore, \(5 \frac{3}{16}\) converted to a decimal is:

**5.1875**