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
≈0.27
approximately equals 0.27
To convert 4/15 to a decimal using long division, follow these steps:
1. Set up the division problem: Place 4 as the dividend inside the long division symbol and 15 as the divisor on the left side.
0.|
-------
15 | 4
2. Divide: Determine how many times 15 can be divided into 4. Since 15 is larger than 4, the answer is 0. Write 0 above the long division symbol.
0.|
-------
15 | 4
3. Multiply: Multiply the quotient (0) by the divisor (15) and write the result below the dividend:
0.| 0
-------
15 | 4
4. Subtract: Subtract the result (0) from the dividend (4) to get the remainder. Write the remainder below the line.
0.| 0
-------
15 | 4
-0
5. Bring down the next digit: Bring down the next digit of the dividend, which is 0, next to the remainder.
0.| 0
-------
15 | 4
-0
0
6. Divide: Determine how many times 15 can be divided into 40 (the new dividend). 15 can be divided into 40 two times. Write 2 above the line.
0.| 0
-------
15 | 4
-0
2
7. Multiply: Multiply the new quotient (2) by the divisor (15) and write the result below the new dividend.
0.| 0
-------
15 | 4
-0
2
30
8. Subtract: Subtract the result (30) from the new dividend (40) to get the remainder. Write the remainder below the line.
0.| 0
-------
15 | 4
-0
2
30
-30
9. Bring down the next digit: Since there are no more digits to bring down, the long division process stops.
0.| 0
-------
15 | 4
-0
2
30
-30
10. The final quotient is 0.2. Therefore, 4/15 as a decimal is approximately 0.27.
So the correct answer is: ≈0.27.