Use long division to convert 4/15 to a decimal

Question

1. 4.15
2. 26
3. 3.75
4. ~ 0.2

Answer 1

To convert 4/15 to a decimal using long division, follow these steps:

1. Place the dividend (4) inside the division bracket, and the divisor (15) outside the bracket.
__________
15 │ 4

2. Divide 4 by 15. The quotient will be written above the division bracket.
0.
__________
15 │ 4

3. Multiply the quotient (0) by the divisor (15), and write the result below the dividend.
0.
__________
15 │ 4
0

4. Subtract the result from the dividend. Write the difference below the line.
0.
__________
15 │ 4
0
---

5. Bring down the next digit of the dividend (0).
0.
__________
15 │ 4
0
---
0

6. Divide 40 by 15. The quotient will be written above the division bracket.
0.2
__________
15 │ 4
0
---
0

7. Multiply the quotient (0.2) by the divisor (15), and write the result below the line.
0.2
__________
15 │ 4
0
---
0
-30

8. Subtract the result from the dividend. Write the difference below the line.
0.2
__________
15 │ 4
0
---
0
-30
---
10

9. Bring down the next digit of the dividend (0).
0.2
__________
15 │ 4
0
---
0
-30
---
10
0

10. Divide 100 by 15. The quotient will be written above the division bracket.
0.26
__________
15 │ 4
0
---
0
-30
---
10
0

11. Multiply the quotient (0.26) by the divisor (15), and write the result below the line.
0.26
__________
15 │ 4
0
---
0
-30
---
10
0
- 9

12. Subtract the result from the dividend. Write the difference below the line.
0.26
__________
15 │ 4
0
---
0
-30
---
10
0
- 9
----
10

13. Bring down the next digit of the dividend (0).
0.26
__________
15 │ 4
0
---
0
-30
---
10
0
- 9
----
10
0

14. Divide 100 by 15. The quotient will be written above the division bracket.
0.266
__________
15 │ 4
0
---
0
-30
---
10
0
- 9
----
10
0

15. Multiply the quotient (0.2666) by the divisor (15), and write the result below the line.
0.266
__________
15 │ 4
0
---
0
-30
---
10
0
- 9
----
10
0
- 9
-----
10

16. Subtract the result from the dividend. Write the difference below the line.
0.2666
__________
15 │ 4
0
---
0
-30
---
10
0
- 9
----
10
0
- 9
-----
10
-----
0

The long division calculation shows that 4/15 is equal to 0.26 with an infinite number of 6s after the decimal point, which we can approximate as 0.266. None of the provided options, 1) 4.15, 2) 26, 3) 3.75, and 4) ~ 0.2, match the correct decimal conversion of 4/15.