Use long division to convert 4/15 to a decimal.(1 point)
Responses
3.75
3.75
4.15
4.15
≈0.27
approximately equals 0.27
26
≈0.27
To convert 4/15 to a decimal using long division, follow these steps:
1. Divide the numerator (4) by the denominator (15). Write the quotient (the result of the division) above the horizontal line and the remainder below the line.
```
0._____
15 | 4.000000
```
2. Since 4 is less than 15, add a decimal point and a zero after the 4. Then bring down a zero.
```
0._____
15 | 4.000000
- 0
```
3. Divide 40 (the new dividend) by 15 (the divisor).
```
0._____
15 | 4.000000
- 0
30
```
4. Write the quotient of this division (2) above the horizontal line and the remainder below the line.
```
0.2_____
15 | 4.000000
- 0
30
- 30
0
```
5. Since the remainder is 0, the division is complete. The quotient, when expressed as a decimal, is 0.2. Therefore, 4/15 = 0.2.
So the correct answer is approximately 0.27.