To convert 6 7/15 to a decimal using long division, we set up the division as follows:
```
0. 4 6
_______________
15 | 67
```
We start by dividing 15 into 67. The quotient will be the whole number part of the mixed number.
```
0. 4 6
_______________
15 | 67
- 60
-----
7
```
Since 15 is not divisible by 7, we bring down the next digit, which is 0, and place it after the decimal point. We then divide 15 into 70.
```
0. 4 6
_______________
15 | 67
- 60
-----
7
0
```
15 goes into 70 four times. We multiply 15 by 4 and subtract the result from 70.
```
0. 4 6
_______________
15 | 67
- 60
-----
7
0
- 60
-----
10
```
Since 15 is not divisible by 10, we bring down the next digit, which is 0, and divide 15 into 100.
```
0. 4 6 4
_______________
15 | 67
- 60
-----
7
0
- 60
-----
10
0
```
15 goes into 100 six times. We multiply 15 by 6 and subtract the result from 100.
```
0. 4 6 4
_______________
15 | 67
- 60
-----
7
0
- 60
-----
10
0
- 90
-----
10
```
Since the remainder is 10, which is the same as the divisor, we know that the division is repeating. Therefore, the decimal representation for 6 7/15 is approximately 6.46.
Thus, the correct answer is option 1) ≈ 6.47.
Use long division to convert 6 7/15 to a decimal.(1 point)
1) ≈6.47
2) ≈0.46
3) 6.715
4) ≈6.14285
1 answer