To convert 6 7/15 to a decimal using long division, we follow the steps below:
1. Set up the division problem: Write 6 7/15 as a fraction, which is 97/15. We will divide 97 by 15.
______
15 │ 97
2. Perform the first step of long division: Divide the first digit of the dividend (97) by the divisor (15). The quotient is 6.
6
15 │ 97
3. Multiply the quotient (6) by the divisor (15), and subtract the result from the dividend (97):
6 * 15 = 90
97 - 90 = 7
6
15 │ 97
- 90
---
7
4. Add a decimal point to the quotient and bring down a zero to continue the division process:
6.
15 │ 97
- 90
---
70
5. Perform the next step of long division: Divide the new dividend (70) by the divisor (15). The quotient is 4:
6.4
15 │ 97
- 90
---
70
- 60
---
10
6. Repeat the previous step, multiplying the new quotient (4) by the divisor (15), and subtracting the result from the dividend (10):
6.46
15 │ 97
- 90
---
70
- 60
---
10
- 10
----
0
7. Since the new dividend is 0, there are no more digits to bring down. Therefore, the division process is complete.
The final answer is 6 7/15 = 6.46 (rounded to two decimal places).
Use long division to convert
6
7/15
to a decimal.
1 answer