Use long division to convert 2 7/16 to a decimal.

Answer 1

To convert 2 7/16 to a decimal using long division, we need to divide the fraction 7/16 by the whole number 2.

First, we convert the mixed number to an improper fraction:
2 7/16 = (2 × 16 + 7) / 16 = 39/16

Now, we will perform the long division:

2.4375
_______________
16 | 39.0000
- 32
_____
70
- 64
_____
60
- 48
_____
120
- 112
_____
80
- 80
_____
0

The remainder becomes 0, indicating that the division is complete. Therefore, 2 7/16 as a decimal is 2.4375.