Use long division to convert 4/15 to a decimal
1. 4.15
2. 26
3. 3.75
4. ~ 0.2
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.
To convert the fraction 4/15 to a decimal using long division, follow these steps:
1. Divide the numerator (4) by the denominator (15) by performing the long division operation.
2. Start by dividing 4 by 15:
0. ____ (quotient)
15| 4.0000 (dividend)
- 0 (subtract quotient multiplied by divisor)
______
4
3. Since the quotient cannot be a whole number, add a decimal point to the dividend and continue dividing.
0. ____ (quotient)
15| 4.0000 (dividend)
- 0 (subtract quotient multiplied by divisor)
______
40
4. Bring down the next digit, which is 0, from the dividend to the right of the result obtained so far (40).
0. ____ (quotient)
15| 4.0000 (dividend)
- 0 (subtract quotient multiplied by divisor)
______
40
- (bring down next digit)
______
400
5. Now, divide 400 by 15:
0. ____ (quotient)
15| 4.0000 (dividend)
- 0 (subtract quotient multiplied by divisor)
______
40
- (bring down next digit)
______
400
- (subtract quotient multiplied by divisor)
______
0
6. After the division, you can see that the remainder is 0, indicating that the division is complete.
7. The quotient obtained is 0.26, which means that 4/15 is equal to approximately 0.26.
Therefore, the correct answer is option 2: 26.