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
0.26
choose one of the answers above
≈0.27
To convert 4/15 to a decimal using long division, follow these steps:
1. Place the dividend (4) inside the long division symbol.
2. Place the divisor (15) outside the long division symbol.
3. Divide 4 by 15:
- The largest multiple of 15 that goes into 4 is 0. So, write 0 above the division symbol.
- Multiply 0 by 15 and subtract from 4: 4 - 0 = 4.
- Bring down the next digit 0.
- Since the resulting number (40) is still smaller than the divisor (15), bring down the next digit 0 again.
The current division looks as follows:
0.____
15| 4.000
4. Divide 40 by 15:
- The largest multiple of 15 that goes into 40 is 2. So, write 2 above the division symbol.
- Multiply 2 by 15 and subtract from 40: 40 - 30 = 10.
- Bring down the next digit 0.
The current division looks as follows:
0.2___
15| 4.000
5. Divide 100 by 15:
- The largest multiple of 15 that goes into 100 is 6. So, write 6 above the division symbol.
- Multiply 6 by 15 and subtract from 100: 100 - 90 = 10.
- Bring down the next digit 0.
The current division looks as follows:
0.26__
15| 4.000
6. Divide 100 by 15:
- The largest multiple of 15 that goes into 100 is 6. So, write 6 above the division symbol.
- Multiply 6 by 15 and subtract from 100: 100 - 90 = 10.
- Bring down the next digit 0.
The current division looks as follows:
0.26_
15| 4.000
7. Divide 100 by 15:
- The largest multiple of 15 that goes into 100 is 6. So, write 6 above the division symbol.
- Multiply 6 by 15 and subtract from 100: 100 - 90 = 10.
- Bring down the next digit 0.
The current division looks as follows:
0.266
15| 4.000
8. Continue with this process until you achieve the desired level of precision. In this case, you can see that the decimal representation of 4/15 is approximately equal to 0.266.
Therefore, the answer is approximately 0.266.