hey, use long division to convert 4/15 to a decimal
To convert 4/15 to a decimal using long division, follow these steps:
1. Write 4 as the dividend and 15 as the divisor.
2. Perform long division by dividing the first digit of the dividend (4) by the divisor (15). The quotient is 0.
3. Write 0 above the line and multiply it by the divisor:
0 * 15 = 0
4. Subtract the result (0) from the first digit of the dividend (4):
4 - 0 = 4
5. Bring down the next digit of the dividend (0) and write it next to the remainder:
4
6. Now, divide 40 (the new dividend) by 15 (the divisor). The quotient is 2.
40 ÷ 15 = 2
7. Write 2 above the line and multiply it by the divisor:
2 * 15 = 30
8. Subtract the result (30) from the new dividend (40):
40 - 30 = 10
9. Bring down the next digit of the dividend (0) and write it next to the remainder:
10
10. Divide 100 (the new dividend) by 15 (the divisor). The quotient is 6.
100 ÷ 15 = 6
11. Write 6 above the line and multiply it by the divisor:
6 * 15 = 90
12. Subtract the result (90) from the new dividend (100):
100 - 90 = 10
13. Bring down the next digit of the dividend (0) and write it next to the remainder:
10
14. Divide 100 (the new dividend) by 15 (the divisor) again. The quotient is 6.
100 ÷ 15 = 6
15. Write 6 above the line and multiply it by the divisor:
6 * 15 = 90
16. Subtract the result (90) from the new dividend (100):
100 - 90 = 10
17. The remainder is 10, and it repeats in a pattern. Since we know the remainder will continue, we can add a decimal point and continue the long division process indefinitely:
0.266666...
Therefore, 4/15 as a decimal is approximately 0.2666... (repeating).
Sure! To convert 4/15 to a decimal using long division, you would follow these steps:
Step 1: Write 4 as the dividend and 15 as the divisor.
___________
15| 4
Step 2: Divide the first digit of the dividend (4) by the divisor (15).
___________
15| 4.0
Step 3: Multiply the quotient obtained from step 2 (0) by the divisor (15) and subtract it from the first digit of the dividend (4).
___________
15| 4.0
0
___________
4 - 0 = 4
Step 4: Bring down the next digit from the dividend (0) and append it to the remainder obtained in step 3.
___________
15| 4.0
0
___________
4
Step 5: Divide the new number (40) obtained from step 4 by the divisor (15).
___________
15| 4.0
0
___________
4.2
Step 6: Multiply the quotient obtained from step 5 (2) by the divisor (15) and subtract it from the new number (40).
___________
15| 4.0
0
___________
4.2
30
___________
10
Step 7: Bring down the next digit from the dividend (0) and append it to the remainder obtained in step 6.
___________
15| 4.0
0
___________
4.2
30
___________
100
Step 8: Divide the new number (100) obtained from step 7 by the divisor (15).
___________
15| 4.0
0
___________
4.2
30
___________
100
90
Step 9: Multiply the quotient obtained from step 8 (6) by the divisor (15) and subtract it from the new number (100).
___________
15| 4.0
0
___________
4.2
30
___________
100
90
___________
100
___________
10
Step 10: Bring down the next digit from the dividend (0) and append it to the remainder obtained in step 9.
___________
15| 4.0
0
___________
4.2
30
___________
100
90
___________
100
90
___________
100
Step 11: Divide the new number (100) obtained from step 10 by the divisor (15).
___________
15| 4.0
0
___________
4.2
30
___________
100
90
___________
100
90
___________
100
- 90
Step 12: Repeat step 6 with the new number (100-90=10) obtained from step 11.
___________
15| 4.0
0
___________
4.2
30
___________
100
90
___________
100
90
___________
100
- 90
10
Since we have a remainder of 10 that is not zero, and the pattern of division repeats (4.2), we can conclude that 4/15 as a decimal is approximately 0.2667.